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Finding the Third Proportional to 85,428 and 199,596

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Solution

The third proportional to 85,428 and 199,596 is: 466,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,428 : 199,596 = 199,596 : x
  2. Step 2: Convert to fraction form
    85,428/199,596 = 199,596/x
  3. Step 3: Cross multiply
    85,428x = 199,596 × 199,596
  4. Step 4: Simplify right side
    85,428x = 39,838,563,216
  5. Step 5: Solve for x
    x = 39,838,563,216/85,428
  6. Step 6: Final answer
    x = 466,340.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.