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Finding the Third Proportional to 114,237 and 247,541

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Solution

The third proportional to 114,237 and 247,541 is: 536,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,237 : 247,541 = 247,541 : x
  2. Step 2: Convert to fraction form
    114,237/247,541 = 247,541/x
  3. Step 3: Cross multiply
    114,237x = 247,541 × 247,541
  4. Step 4: Simplify right side
    114,237x = 61,276,546,681
  5. Step 5: Solve for x
    x = 61,276,546,681/114,237
  6. Step 6: Final answer
    x = 536,398.42

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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.