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Finding the Third Proportional to 139,248 and 285,870

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Solution

The third proportional to 139,248 and 285,870 is: 586,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,248 : 285,870 = 285,870 : x
  2. Step 2: Convert to fraction form
    139,248/285,870 = 285,870/x
  3. Step 3: Cross multiply
    139,248x = 285,870 × 285,870
  4. Step 4: Simplify right side
    139,248x = 81,721,656,900
  5. Step 5: Solve for x
    x = 81,721,656,900/139,248
  6. Step 6: Final answer
    x = 586,878.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.