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Finding the Third Proportional to 114,448 and 246,560

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Solution

The third proportional to 114,448 and 246,560 is: 531,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,448 : 246,560 = 246,560 : x
  2. Step 2: Convert to fraction form
    114,448/246,560 = 246,560/x
  3. Step 3: Cross multiply
    114,448x = 246,560 × 246,560
  4. Step 4: Simplify right side
    114,448x = 60,791,833,600
  5. Step 5: Solve for x
    x = 60,791,833,600/114,448
  6. Step 6: Final answer
    x = 531,174.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.