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Finding the Third Proportional to 78,246 and 168,654

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Solution

The third proportional to 78,246 and 168,654 is: 363,522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,246 : 168,654 = 168,654 : x
  2. Step 2: Convert to fraction form
    78,246/168,654 = 168,654/x
  3. Step 3: Cross multiply
    78,246x = 168,654 × 168,654
  4. Step 4: Simplify right side
    78,246x = 28,444,171,716
  5. Step 5: Solve for x
    x = 28,444,171,716/78,246
  6. Step 6: Final answer
    x = 363,522.37

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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.