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Finding the Third Proportional to 107,446 and 234,574

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Solution

The third proportional to 107,446 and 234,574 is: 512,117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,446 : 234,574 = 234,574 : x
  2. Step 2: Convert to fraction form
    107,446/234,574 = 234,574/x
  3. Step 3: Cross multiply
    107,446x = 234,574 × 234,574
  4. Step 4: Simplify right side
    107,446x = 55,024,961,476
  5. Step 5: Solve for x
    x = 55,024,961,476/107,446
  6. Step 6: Final answer
    x = 512,117.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.