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Finding the Third Proportional to 265,894.50 and 569,165

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Solution

The third proportional to 265,894.50 and 569,165 is: 1,218,335.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,894.50 : 569,165 = 569,165 : x
  2. Step 2: Convert to fraction form
    265,894.50/569,165 = 569,165/x
  3. Step 3: Cross multiply
    265,894.50x = 569,165 × 569,165
  4. Step 4: Simplify right side
    265,894.50x = 323,948,797,225
  5. Step 5: Solve for x
    x = 323,948,797,225/265,894.50
  6. Step 6: Final answer
    x = 1,218,335.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.