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Finding the Third Proportional to 98,416 and 152,808

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Solution

The third proportional to 98,416 and 152,808 is: 237,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,416 : 152,808 = 152,808 : x
  2. Step 2: Convert to fraction form
    98,416/152,808 = 152,808/x
  3. Step 3: Cross multiply
    98,416x = 152,808 × 152,808
  4. Step 4: Simplify right side
    98,416x = 23,350,284,864
  5. Step 5: Solve for x
    x = 23,350,284,864/98,416
  6. Step 6: Final answer
    x = 237,261.06

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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.