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Finding the Third Proportional to 165,856 and 249,980

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Solution

The third proportional to 165,856 and 249,980 is: 376,772.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,856 : 249,980 = 249,980 : x
  2. Step 2: Convert to fraction form
    165,856/249,980 = 249,980/x
  3. Step 3: Cross multiply
    165,856x = 249,980 × 249,980
  4. Step 4: Simplify right side
    165,856x = 62,490,000,400
  5. Step 5: Solve for x
    x = 62,490,000,400/165,856
  6. Step 6: Final answer
    x = 376,772.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.