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Finding the Third Proportional to 169,575 and 269,931

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Solution

The third proportional to 169,575 and 269,931 is: 429,678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,575 : 269,931 = 269,931 : x
  2. Step 2: Convert to fraction form
    169,575/269,931 = 269,931/x
  3. Step 3: Cross multiply
    169,575x = 269,931 × 269,931
  4. Step 4: Simplify right side
    169,575x = 72,862,744,761
  5. Step 5: Solve for x
    x = 72,862,744,761/169,575
  6. Step 6: Final answer
    x = 429,678.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.