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Finding the Third Proportional to 157,616 and 344,392

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Solution

The third proportional to 157,616 and 344,392 is: 752,498.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,616 : 344,392 = 344,392 : x
  2. Step 2: Convert to fraction form
    157,616/344,392 = 344,392/x
  3. Step 3: Cross multiply
    157,616x = 344,392 × 344,392
  4. Step 4: Simplify right side
    157,616x = 118,605,849,664
  5. Step 5: Solve for x
    x = 118,605,849,664/157,616
  6. Step 6: Final answer
    x = 752,498.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.