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Finding the Third Proportional to 175,533 and 359,373

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Solution

The third proportional to 175,533 and 359,373 is: 735,753.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,533 : 359,373 = 359,373 : x
  2. Step 2: Convert to fraction form
    175,533/359,373 = 359,373/x
  3. Step 3: Cross multiply
    175,533x = 359,373 × 359,373
  4. Step 4: Simplify right side
    175,533x = 129,148,953,129
  5. Step 5: Solve for x
    x = 129,148,953,129/175,533
  6. Step 6: Final answer
    x = 735,753.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.