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Finding the Third Proportional to 151,216 and 325,540

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Solution

The third proportional to 151,216 and 325,540 is: 700,827.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,216 : 325,540 = 325,540 : x
  2. Step 2: Convert to fraction form
    151,216/325,540 = 325,540/x
  3. Step 3: Cross multiply
    151,216x = 325,540 × 325,540
  4. Step 4: Simplify right side
    151,216x = 105,976,291,600
  5. Step 5: Solve for x
    x = 105,976,291,600/151,216
  6. Step 6: Final answer
    x = 700,827.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.