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Finding the Third Proportional to 175,856 and 260,504

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Solution

The third proportional to 175,856 and 260,504 is: 385,897.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,856 : 260,504 = 260,504 : x
  2. Step 2: Convert to fraction form
    175,856/260,504 = 260,504/x
  3. Step 3: Cross multiply
    175,856x = 260,504 × 260,504
  4. Step 4: Simplify right side
    175,856x = 67,862,334,016
  5. Step 5: Solve for x
    x = 67,862,334,016/175,856
  6. Step 6: Final answer
    x = 385,897.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.