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Finding the Third Proportional to 149,773 and 224,730

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Solution

The third proportional to 149,773 and 224,730 is: 337,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,773 : 224,730 = 224,730 : x
  2. Step 2: Convert to fraction form
    149,773/224,730 = 224,730/x
  3. Step 3: Cross multiply
    149,773x = 224,730 × 224,730
  4. Step 4: Simplify right side
    149,773x = 50,503,572,900
  5. Step 5: Solve for x
    x = 50,503,572,900/149,773
  6. Step 6: Final answer
    x = 337,200.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.