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Finding the Third Proportional to 114,498 and 168,434

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Solution

The third proportional to 114,498 and 168,434 is: 247,777.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,498 : 168,434 = 168,434 : x
  2. Step 2: Convert to fraction form
    114,498/168,434 = 168,434/x
  3. Step 3: Cross multiply
    114,498x = 168,434 × 168,434
  4. Step 4: Simplify right side
    114,498x = 28,370,012,356
  5. Step 5: Solve for x
    x = 28,370,012,356/114,498
  6. Step 6: Final answer
    x = 247,777.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.