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Finding the Third Proportional to 98,444 and 152,728

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Solution

The third proportional to 98,444 and 152,728 is: 236,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,444 : 152,728 = 152,728 : x
  2. Step 2: Convert to fraction form
    98,444/152,728 = 152,728/x
  3. Step 3: Cross multiply
    98,444x = 152,728 × 152,728
  4. Step 4: Simplify right side
    98,444x = 23,325,841,984
  5. Step 5: Solve for x
    x = 23,325,841,984/98,444
  6. Step 6: Final answer
    x = 236,945.29

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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.