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Finding the Third Proportional to 114,497 and 168,429

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Solution

The third proportional to 114,497 and 168,429 is: 247,764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,497 : 168,429 = 168,429 : x
  2. Step 2: Convert to fraction form
    114,497/168,429 = 168,429/x
  3. Step 3: Cross multiply
    114,497x = 168,429 × 168,429
  4. Step 4: Simplify right side
    114,497x = 28,368,328,041
  5. Step 5: Solve for x
    x = 28,368,328,041/114,497
  6. Step 6: Final answer
    x = 247,764.82

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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.