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Finding the Third Proportional to 256,135.29 and 562,093.17

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Solution

The third proportional to 256,135.29 and 562,093.17 is: 1,233,522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,135.29 : 562,093.17 = 562,093.17 : x
  2. Step 2: Convert to fraction form
    256,135.29/562,093.17 = 562,093.17/x
  3. Step 3: Cross multiply
    256,135.29x = 562,093.17 × 562,093.17
  4. Step 4: Simplify right side
    256,135.29x = 315,948,733,868.50
  5. Step 5: Solve for x
    x = 315,948,733,868.50/256,135.29
  6. Step 6: Final answer
    x = 1,233,522.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.