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Finding the Third Proportional to 226,332 and 496,190

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Solution

The third proportional to 226,332 and 496,190 is: 1,087,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,332 : 496,190 = 496,190 : x
  2. Step 2: Convert to fraction form
    226,332/496,190 = 496,190/x
  3. Step 3: Cross multiply
    226,332x = 496,190 × 496,190
  4. Step 4: Simplify right side
    226,332x = 246,204,516,100
  5. Step 5: Solve for x
    x = 246,204,516,100/226,332
  6. Step 6: Final answer
    x = 1,087,802.50

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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.