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Finding the Third Proportional to 186,810.50 and 297,397

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Solution

The third proportional to 186,810.50 and 297,397 is: 473,447.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,810.50 : 297,397 = 297,397 : x
  2. Step 2: Convert to fraction form
    186,810.50/297,397 = 297,397/x
  3. Step 3: Cross multiply
    186,810.50x = 297,397 × 297,397
  4. Step 4: Simplify right side
    186,810.50x = 88,444,975,609
  5. Step 5: Solve for x
    x = 88,444,975,609/186,810.50
  6. Step 6: Final answer
    x = 473,447.56

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.