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Finding the Third Proportional to 186,918 and 411,202.50

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Solution

The third proportional to 186,918 and 411,202.50 is: 904,607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,918 : 411,202.50 = 411,202.50 : x
  2. Step 2: Convert to fraction form
    186,918/411,202.50 = 411,202.50/x
  3. Step 3: Cross multiply
    186,918x = 411,202.50 × 411,202.50
  4. Step 4: Simplify right side
    186,918x = 169,087,496,006.25
  5. Step 5: Solve for x
    x = 169,087,496,006.25/186,918
  6. Step 6: Final answer
    x = 904,607.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.