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Finding the Third Proportional to 114,426 and 247,725

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Solution

The third proportional to 114,426 and 247,725 is: 536,308.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,426 : 247,725 = 247,725 : x
  2. Step 2: Convert to fraction form
    114,426/247,725 = 247,725/x
  3. Step 3: Cross multiply
    114,426x = 247,725 × 247,725
  4. Step 4: Simplify right side
    114,426x = 61,367,675,625
  5. Step 5: Solve for x
    x = 61,367,675,625/114,426
  6. Step 6: Final answer
    x = 536,308.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.