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Finding the Third Proportional to 100,444 and 160,548

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Solution

The third proportional to 100,444 and 160,548 is: 256,617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,444 : 160,548 = 160,548 : x
  2. Step 2: Convert to fraction form
    100,444/160,548 = 160,548/x
  3. Step 3: Cross multiply
    100,444x = 160,548 × 160,548
  4. Step 4: Simplify right side
    100,444x = 25,775,660,304
  5. Step 5: Solve for x
    x = 25,775,660,304/100,444
  6. Step 6: Final answer
    x = 256,617.22

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.