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Finding the Third Proportional to 140,356.71 and 286,806.68

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Solution

The third proportional to 140,356.71 and 286,806.68 is: 586,064.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,356.71 : 286,806.68 = 286,806.68 : x
  2. Step 2: Convert to fraction form
    140,356.71/286,806.68 = 286,806.68/x
  3. Step 3: Cross multiply
    140,356.71x = 286,806.68 × 286,806.68
  4. Step 4: Simplify right side
    140,356.71x = 82,258,073,193.87
  5. Step 5: Solve for x
    x = 82,258,073,193.87/140,356.71
  6. Step 6: Final answer
    x = 586,064.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.