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Finding the Third Proportional to 225,106 and 531,374

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Solution

The third proportional to 225,106 and 531,374 is: 1,254,334.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,106 : 531,374 = 531,374 : x
  2. Step 2: Convert to fraction form
    225,106/531,374 = 531,374/x
  3. Step 3: Cross multiply
    225,106x = 531,374 × 531,374
  4. Step 4: Simplify right side
    225,106x = 282,358,327,876
  5. Step 5: Solve for x
    x = 282,358,327,876/225,106
  6. Step 6: Final answer
    x = 1,254,334.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.