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Finding the Third Proportional to 123,350 and 265,732.50

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Solution

The third proportional to 123,350 and 265,732.50 is: 572,466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,350 : 265,732.50 = 265,732.50 : x
  2. Step 2: Convert to fraction form
    123,350/265,732.50 = 265,732.50/x
  3. Step 3: Cross multiply
    123,350x = 265,732.50 × 265,732.50
  4. Step 4: Simplify right side
    123,350x = 70,613,761,556.25
  5. Step 5: Solve for x
    x = 70,613,761,556.25/123,350
  6. Step 6: Final answer
    x = 572,466.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.