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Finding the Third Proportional to 240,390.50 and 514,132.50

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Solution

The third proportional to 240,390.50 and 514,132.50 is: 1,099,595.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,390.50 : 514,132.50 = 514,132.50 : x
  2. Step 2: Convert to fraction form
    240,390.50/514,132.50 = 514,132.50/x
  3. Step 3: Cross multiply
    240,390.50x = 514,132.50 × 514,132.50
  4. Step 4: Simplify right side
    240,390.50x = 264,332,227,556.25
  5. Step 5: Solve for x
    x = 264,332,227,556.25/240,390.50
  6. Step 6: Final answer
    x = 1,099,595.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.