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Finding the Third Proportional to 138,946 and 215,284

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Solution

The third proportional to 138,946 and 215,284 is: 333,562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,946 : 215,284 = 215,284 : x
  2. Step 2: Convert to fraction form
    138,946/215,284 = 215,284/x
  3. Step 3: Cross multiply
    138,946x = 215,284 × 215,284
  4. Step 4: Simplify right side
    138,946x = 46,347,200,656
  5. Step 5: Solve for x
    x = 46,347,200,656/138,946
  6. Step 6: Final answer
    x = 333,562.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.