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Finding the Third Proportional to 76,765 and 168,352

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Solution

The third proportional to 76,765 and 168,352 is: 369,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,765 : 168,352 = 168,352 : x
  2. Step 2: Convert to fraction form
    76,765/168,352 = 168,352/x
  3. Step 3: Cross multiply
    76,765x = 168,352 × 168,352
  4. Step 4: Simplify right side
    76,765x = 28,342,395,904
  5. Step 5: Solve for x
    x = 28,342,395,904/76,765
  6. Step 6: Final answer
    x = 369,209.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.