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Finding the Third Proportional to 187,700.06 and 442,895.06

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Solution

The third proportional to 187,700.06 and 442,895.06 is: 1,045,050.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,700.06 : 442,895.06 = 442,895.06 : x
  2. Step 2: Convert to fraction form
    187,700.06/442,895.06 = 442,895.06/x
  3. Step 3: Cross multiply
    187,700.06x = 442,895.06 × 442,895.06
  4. Step 4: Simplify right side
    187,700.06x = 196,156,036,386.88
  5. Step 5: Solve for x
    x = 196,156,036,386.88/187,700.06
  6. Step 6: Final answer
    x = 1,045,050.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.