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Finding the Third Proportional to 240,139.50 and 517,521

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Solution

The third proportional to 240,139.50 and 517,521 is: 1,115,301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,139.50 : 517,521 = 517,521 : x
  2. Step 2: Convert to fraction form
    240,139.50/517,521 = 517,521/x
  3. Step 3: Cross multiply
    240,139.50x = 517,521 × 517,521
  4. Step 4: Simplify right side
    240,139.50x = 267,827,985,441
  5. Step 5: Solve for x
    x = 267,827,985,441/240,139.50
  6. Step 6: Final answer
    x = 1,115,301.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.