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Finding the Third Proportional to 225,279.75 and 314,956.13

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Solution

The third proportional to 225,279.75 and 314,956.13 is: 440,329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,279.75 : 314,956.13 = 314,956.13 : x
  2. Step 2: Convert to fraction form
    225,279.75/314,956.13 = 314,956.13/x
  3. Step 3: Cross multiply
    225,279.75x = 314,956.13 × 314,956.13
  4. Step 4: Simplify right side
    225,279.75x = 99,197,360,675.02
  5. Step 5: Solve for x
    x = 99,197,360,675.02/225,279.75
  6. Step 6: Final answer
    x = 440,329.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.