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Finding the Third Proportional to 128,216 and 296,831

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Solution

The third proportional to 128,216 and 296,831 is: 687,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,216 : 296,831 = 296,831 : x
  2. Step 2: Convert to fraction form
    128,216/296,831 = 296,831/x
  3. Step 3: Cross multiply
    128,216x = 296,831 × 296,831
  4. Step 4: Simplify right side
    128,216x = 88,108,642,561
  5. Step 5: Solve for x
    x = 88,108,642,561/128,216
  6. Step 6: Final answer
    x = 687,189.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.