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Finding the Third Proportional to 187,071.75 and 285,278.06

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Solution

The third proportional to 187,071.75 and 285,278.06 is: 435,039.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,071.75 : 285,278.06 = 285,278.06 : x
  2. Step 2: Convert to fraction form
    187,071.75/285,278.06 = 285,278.06/x
  3. Step 3: Cross multiply
    187,071.75x = 285,278.06 × 285,278.06
  4. Step 4: Simplify right side
    187,071.75x = 81,383,572,943.75
  5. Step 5: Solve for x
    x = 81,383,572,943.75/187,071.75
  6. Step 6: Final answer
    x = 435,039.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.