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Finding the Third Proportional to 115,650 and 240,534

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Solution

The third proportional to 115,650 and 240,534 is: 500,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,650 : 240,534 = 240,534 : x
  2. Step 2: Convert to fraction form
    115,650/240,534 = 240,534/x
  3. Step 3: Cross multiply
    115,650x = 240,534 × 240,534
  4. Step 4: Simplify right side
    115,650x = 57,856,605,156
  5. Step 5: Solve for x
    x = 57,856,605,156/115,650
  6. Step 6: Final answer
    x = 500,273.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.