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Finding the Third Proportional to 114,432 and 248,560

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Solution

The third proportional to 114,432 and 248,560 is: 539,902.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,432 : 248,560 = 248,560 : x
  2. Step 2: Convert to fraction form
    114,432/248,560 = 248,560/x
  3. Step 3: Cross multiply
    114,432x = 248,560 × 248,560
  4. Step 4: Simplify right side
    114,432x = 61,782,073,600
  5. Step 5: Solve for x
    x = 61,782,073,600/114,432
  6. Step 6: Final answer
    x = 539,902.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.