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Finding the Third Proportional to 78,298 and 169,352

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Solution

The third proportional to 78,298 and 169,352 is: 366,294.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,298 : 169,352 = 169,352 : x
  2. Step 2: Convert to fraction form
    78,298/169,352 = 169,352/x
  3. Step 3: Cross multiply
    78,298x = 169,352 × 169,352
  4. Step 4: Simplify right side
    78,298x = 28,680,099,904
  5. Step 5: Solve for x
    x = 28,680,099,904/78,298
  6. Step 6: Final answer
    x = 366,294.16

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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.