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Finding the Third Proportional to 115,397.25 and 239,967.50

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Solution

The third proportional to 115,397.25 and 239,967.50 is: 499,010.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,397.25 : 239,967.50 = 239,967.50 : x
  2. Step 2: Convert to fraction form
    115,397.25/239,967.50 = 239,967.50/x
  3. Step 3: Cross multiply
    115,397.25x = 239,967.50 × 239,967.50
  4. Step 4: Simplify right side
    115,397.25x = 57,584,401,056.25
  5. Step 5: Solve for x
    x = 57,584,401,056.25/115,397.25
  6. Step 6: Final answer
    x = 499,010.17

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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.