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Finding the Third Proportional to 98,208 and 152,416

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Solution

The third proportional to 98,208 and 152,416 is: 236,545.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,208 : 152,416 = 152,416 : x
  2. Step 2: Convert to fraction form
    98,208/152,416 = 152,416/x
  3. Step 3: Cross multiply
    98,208x = 152,416 × 152,416
  4. Step 4: Simplify right side
    98,208x = 23,230,637,056
  5. Step 5: Solve for x
    x = 23,230,637,056/98,208
  6. Step 6: Final answer
    x = 236,545.26

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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.