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Finding the Third Proportional to 234,034 and 359,496

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Solution

The third proportional to 234,034 and 359,496 is: 552,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,034 : 359,496 = 359,496 : x
  2. Step 2: Convert to fraction form
    234,034/359,496 = 359,496/x
  3. Step 3: Cross multiply
    234,034x = 359,496 × 359,496
  4. Step 4: Simplify right side
    234,034x = 129,237,374,016
  5. Step 5: Solve for x
    x = 129,237,374,016/234,034
  6. Step 6: Final answer
    x = 552,216.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.