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Finding the Third Proportional to 98,422 and 152,818

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Solution

The third proportional to 98,422 and 152,818 is: 237,277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,422 : 152,818 = 152,818 : x
  2. Step 2: Convert to fraction form
    98,422/152,818 = 152,818/x
  3. Step 3: Cross multiply
    98,422x = 152,818 × 152,818
  4. Step 4: Simplify right side
    98,422x = 23,353,341,124
  5. Step 5: Solve for x
    x = 23,353,341,124/98,422
  6. Step 6: Final answer
    x = 237,277.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.