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Finding the Third Proportional to 175,510.13 and 281,125.69

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Solution

The third proportional to 175,510.13 and 281,125.69 is: 450,296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,510.13 : 281,125.69 = 281,125.69 : x
  2. Step 2: Convert to fraction form
    175,510.13/281,125.69 = 281,125.69/x
  3. Step 3: Cross multiply
    175,510.13x = 281,125.69 × 281,125.69
  4. Step 4: Simplify right side
    175,510.13x = 79,031,652,172.35
  5. Step 5: Solve for x
    x = 79,031,652,172.35/175,510.13
  6. Step 6: Final answer
    x = 450,296.83

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.