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Finding the Third Proportional to 120,350 and 186,258

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Solution

The third proportional to 120,350 and 186,258 is: 288,259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,350 : 186,258 = 186,258 : x
  2. Step 2: Convert to fraction form
    120,350/186,258 = 186,258/x
  3. Step 3: Cross multiply
    120,350x = 186,258 × 186,258
  4. Step 4: Simplify right side
    120,350x = 34,692,042,564
  5. Step 5: Solve for x
    x = 34,692,042,564/120,350
  6. Step 6: Final answer
    x = 288,259.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.