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Finding the Third Proportional to 109,598 and 164,397

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Solution

The third proportional to 109,598 and 164,397 is: 246,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,598 : 164,397 = 164,397 : x
  2. Step 2: Convert to fraction form
    109,598/164,397 = 164,397/x
  3. Step 3: Cross multiply
    109,598x = 164,397 × 164,397
  4. Step 4: Simplify right side
    109,598x = 27,026,373,609
  5. Step 5: Solve for x
    x = 27,026,373,609/109,598
  6. Step 6: Final answer
    x = 246,595.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.