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Finding the Third Proportional to 187,158.38 and 287,966.25

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Solution

The third proportional to 187,158.38 and 287,966.25 is: 443,071.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,158.38 : 287,966.25 = 287,966.25 : x
  2. Step 2: Convert to fraction form
    187,158.38/287,966.25 = 287,966.25/x
  3. Step 3: Cross multiply
    187,158.38x = 287,966.25 × 287,966.25
  4. Step 4: Simplify right side
    187,158.38x = 82,924,561,139.06
  5. Step 5: Solve for x
    x = 82,924,561,139.06/187,158.38
  6. Step 6: Final answer
    x = 443,071.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.