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Finding the Third Proportional to 153,098 and 332,440

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Solution

The third proportional to 153,098 and 332,440 is: 721,866.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,098 : 332,440 = 332,440 : x
  2. Step 2: Convert to fraction form
    153,098/332,440 = 332,440/x
  3. Step 3: Cross multiply
    153,098x = 332,440 × 332,440
  4. Step 4: Simplify right side
    153,098x = 110,516,353,600
  5. Step 5: Solve for x
    x = 110,516,353,600/153,098
  6. Step 6: Final answer
    x = 721,866.74

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Why These Related Problems?

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