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Finding the Third Proportional to 187,050 and 400,362

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Solution

The third proportional to 187,050 and 400,362 is: 856,935.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,050 : 400,362 = 400,362 : x
  2. Step 2: Convert to fraction form
    187,050/400,362 = 400,362/x
  3. Step 3: Cross multiply
    187,050x = 400,362 × 400,362
  4. Step 4: Simplify right side
    187,050x = 160,289,731,044
  5. Step 5: Solve for x
    x = 160,289,731,044/187,050
  6. Step 6: Final answer
    x = 856,935.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.