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Finding the Third Proportional to 114,239 and 247,545

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Solution

The third proportional to 114,239 and 247,545 is: 536,406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,239 : 247,545 = 247,545 : x
  2. Step 2: Convert to fraction form
    114,239/247,545 = 247,545/x
  3. Step 3: Cross multiply
    114,239x = 247,545 × 247,545
  4. Step 4: Simplify right side
    114,239x = 61,278,527,025
  5. Step 5: Solve for x
    x = 61,278,527,025/114,239
  6. Step 6: Final answer
    x = 536,406.37

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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.