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Finding the Third Proportional to 138,410 and 216,842

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Solution

The third proportional to 138,410 and 216,842 is: 339,718.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,410 : 216,842 = 216,842 : x
  2. Step 2: Convert to fraction form
    138,410/216,842 = 216,842/x
  3. Step 3: Cross multiply
    138,410x = 216,842 × 216,842
  4. Step 4: Simplify right side
    138,410x = 47,020,452,964
  5. Step 5: Solve for x
    x = 47,020,452,964/138,410
  6. Step 6: Final answer
    x = 339,718.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.