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Finding the Third Proportional to 157,440 and 332,664

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Solution

The third proportional to 157,440 and 332,664 is: 702,904.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,440 : 332,664 = 332,664 : x
  2. Step 2: Convert to fraction form
    157,440/332,664 = 332,664/x
  3. Step 3: Cross multiply
    157,440x = 332,664 × 332,664
  4. Step 4: Simplify right side
    157,440x = 110,665,336,896
  5. Step 5: Solve for x
    x = 110,665,336,896/157,440
  6. Step 6: Final answer
    x = 702,904.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.