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Finding the Third Proportional to 100,464 and 160,584

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Solution

The third proportional to 100,464 and 160,584 is: 256,681.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,464 : 160,584 = 160,584 : x
  2. Step 2: Convert to fraction form
    100,464/160,584 = 160,584/x
  3. Step 3: Cross multiply
    100,464x = 160,584 × 160,584
  4. Step 4: Simplify right side
    100,464x = 25,787,221,056
  5. Step 5: Solve for x
    x = 25,787,221,056/100,464
  6. Step 6: Final answer
    x = 256,681.21

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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.