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Finding the Third Proportional to 175,822 and 279,537

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Solution

The third proportional to 175,822 and 279,537 is: 444,432.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,822 : 279,537 = 279,537 : x
  2. Step 2: Convert to fraction form
    175,822/279,537 = 279,537/x
  3. Step 3: Cross multiply
    175,822x = 279,537 × 279,537
  4. Step 4: Simplify right side
    175,822x = 78,140,934,369
  5. Step 5: Solve for x
    x = 78,140,934,369/175,822
  6. Step 6: Final answer
    x = 444,432.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.