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Finding the Third Proportional to 114,486 and 168,416

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Solution

The third proportional to 114,486 and 168,416 is: 247,750.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,486 : 168,416 = 168,416 : x
  2. Step 2: Convert to fraction form
    114,486/168,416 = 168,416/x
  3. Step 3: Cross multiply
    114,486x = 168,416 × 168,416
  4. Step 4: Simplify right side
    114,486x = 28,363,949,056
  5. Step 5: Solve for x
    x = 28,363,949,056/114,486
  6. Step 6: Final answer
    x = 247,750.37

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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.