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Finding the Third Proportional to 175,446 and 282,548.25

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Solution

The third proportional to 175,446 and 282,548.25 is: 455,031.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,446 : 282,548.25 = 282,548.25 : x
  2. Step 2: Convert to fraction form
    175,446/282,548.25 = 282,548.25/x
  3. Step 3: Cross multiply
    175,446x = 282,548.25 × 282,548.25
  4. Step 4: Simplify right side
    175,446x = 79,833,513,578.06
  5. Step 5: Solve for x
    x = 79,833,513,578.06/175,446
  6. Step 6: Final answer
    x = 455,031.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.