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Finding the Third Proportional to 232,442 and 359,172

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Solution

The third proportional to 232,442 and 359,172 is: 554,996.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,442 : 359,172 = 359,172 : x
  2. Step 2: Convert to fraction form
    232,442/359,172 = 359,172/x
  3. Step 3: Cross multiply
    232,442x = 359,172 × 359,172
  4. Step 4: Simplify right side
    232,442x = 129,004,525,584
  5. Step 5: Solve for x
    x = 129,004,525,584/232,442
  6. Step 6: Final answer
    x = 554,996.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.