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Finding the Third Proportional to 98,488 and 156,352

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Solution

The third proportional to 98,488 and 156,352 is: 248,212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,488 : 156,352 = 156,352 : x
  2. Step 2: Convert to fraction form
    98,488/156,352 = 156,352/x
  3. Step 3: Cross multiply
    98,488x = 156,352 × 156,352
  4. Step 4: Simplify right side
    98,488x = 24,445,947,904
  5. Step 5: Solve for x
    x = 24,445,947,904/98,488
  6. Step 6: Final answer
    x = 248,212.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.