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Finding the Third Proportional to 165,860 and 249,986

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Solution

The third proportional to 165,860 and 249,986 is: 376,781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,860 : 249,986 = 249,986 : x
  2. Step 2: Convert to fraction form
    165,860/249,986 = 249,986/x
  3. Step 3: Cross multiply
    165,860x = 249,986 × 249,986
  4. Step 4: Simplify right side
    165,860x = 62,493,000,196
  5. Step 5: Solve for x
    x = 62,493,000,196/165,860
  6. Step 6: Final answer
    x = 376,781.62

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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.