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Finding the Third Proportional to 115,306 and 243,800

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Solution

The third proportional to 115,306 and 243,800 is: 515,484.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,306 : 243,800 = 243,800 : x
  2. Step 2: Convert to fraction form
    115,306/243,800 = 243,800/x
  3. Step 3: Cross multiply
    115,306x = 243,800 × 243,800
  4. Step 4: Simplify right side
    115,306x = 59,438,440,000
  5. Step 5: Solve for x
    x = 59,438,440,000/115,306
  6. Step 6: Final answer
    x = 515,484.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.