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Finding the Third Proportional to 98,344 and 153,660

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Solution

The third proportional to 98,344 and 153,660 is: 240,089.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,344 : 153,660 = 153,660 : x
  2. Step 2: Convert to fraction form
    98,344/153,660 = 153,660/x
  3. Step 3: Cross multiply
    98,344x = 153,660 × 153,660
  4. Step 4: Simplify right side
    98,344x = 23,611,395,600
  5. Step 5: Solve for x
    x = 23,611,395,600/98,344
  6. Step 6: Final answer
    x = 240,089.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.