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Finding the Third Proportional to 526.13 and 1,156.69

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Solution

The third proportional to 526.13 and 1,156.69 is: 2,542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.13 : 1,156.69 = 1,156.69 : x
  2. Step 2: Convert to fraction form
    526.13/1,156.69 = 1,156.69/x
  3. Step 3: Cross multiply
    526.13x = 1,156.69 × 1,156.69
  4. Step 4: Simplify right side
    526.13x = 1,337,925.97
  5. Step 5: Solve for x
    x = 1,337,925.97/526.13
  6. Step 6: Final answer
    x = 2,542.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.