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Finding the Third Proportional to 175,031 and 357,453

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Solution

The third proportional to 175,031 and 357,453 is: 730,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,031 : 357,453 = 357,453 : x
  2. Step 2: Convert to fraction form
    175,031/357,453 = 357,453/x
  3. Step 3: Cross multiply
    175,031x = 357,453 × 357,453
  4. Step 4: Simplify right side
    175,031x = 127,772,647,209
  5. Step 5: Solve for x
    x = 127,772,647,209/175,031
  6. Step 6: Final answer
    x = 730,000.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.