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Finding the Third Proportional to 153,486 and 332,724

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Solution

The third proportional to 153,486 and 332,724 is: 721,272.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,486 : 332,724 = 332,724 : x
  2. Step 2: Convert to fraction form
    153,486/332,724 = 332,724/x
  3. Step 3: Cross multiply
    153,486x = 332,724 × 332,724
  4. Step 4: Simplify right side
    153,486x = 110,705,260,176
  5. Step 5: Solve for x
    x = 110,705,260,176/153,486
  6. Step 6: Final answer
    x = 721,272.69

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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.