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Finding the Third Proportional to 139,258 and 285,890

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Solution

The third proportional to 139,258 and 285,890 is: 586,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,258 : 285,890 = 285,890 : x
  2. Step 2: Convert to fraction form
    139,258/285,890 = 285,890/x
  3. Step 3: Cross multiply
    139,258x = 285,890 × 285,890
  4. Step 4: Simplify right side
    139,258x = 81,733,092,100
  5. Step 5: Solve for x
    x = 81,733,092,100/139,258
  6. Step 6: Final answer
    x = 586,918.47

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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.