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Finding the Third Proportional to 157,111 and 332,419

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Solution

The third proportional to 157,111 and 332,419 is: 703,339.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,111 : 332,419 = 332,419 : x
  2. Step 2: Convert to fraction form
    157,111/332,419 = 332,419/x
  3. Step 3: Cross multiply
    157,111x = 332,419 × 332,419
  4. Step 4: Simplify right side
    157,111x = 110,502,391,561
  5. Step 5: Solve for x
    x = 110,502,391,561/157,111
  6. Step 6: Final answer
    x = 703,339.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.