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Finding the Third Proportional to 149,742 and 324,748.13

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Solution

The third proportional to 149,742 and 324,748.13 is: 704,287.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,742 : 324,748.13 = 324,748.13 : x
  2. Step 2: Convert to fraction form
    149,742/324,748.13 = 324,748.13/x
  3. Step 3: Cross multiply
    149,742x = 324,748.13 × 324,748.13
  4. Step 4: Simplify right side
    149,742x = 105,461,344,691.02
  5. Step 5: Solve for x
    x = 105,461,344,691.02/149,742
  6. Step 6: Final answer
    x = 704,287.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.