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Finding the Third Proportional to 163,757 and 260,398

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Solution

The third proportional to 163,757 and 260,398 is: 414,071.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,757 : 260,398 = 260,398 : x
  2. Step 2: Convert to fraction form
    163,757/260,398 = 260,398/x
  3. Step 3: Cross multiply
    163,757x = 260,398 × 260,398
  4. Step 4: Simplify right side
    163,757x = 67,807,118,404
  5. Step 5: Solve for x
    x = 67,807,118,404/163,757
  6. Step 6: Final answer
    x = 414,071.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.