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Finding the Third Proportional to 186,814.50 and 297,402

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Solution

The third proportional to 186,814.50 and 297,402 is: 473,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,814.50 : 297,402 = 297,402 : x
  2. Step 2: Convert to fraction form
    186,814.50/297,402 = 297,402/x
  3. Step 3: Cross multiply
    186,814.50x = 297,402 × 297,402
  4. Step 4: Simplify right side
    186,814.50x = 88,447,949,604
  5. Step 5: Solve for x
    x = 88,447,949,604/186,814.50
  6. Step 6: Final answer
    x = 473,453.34

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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.