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Finding the Third Proportional to 225,678 and 350,572

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Solution

The third proportional to 225,678 and 350,572 is: 544,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,678 : 350,572 = 350,572 : x
  2. Step 2: Convert to fraction form
    225,678/350,572 = 350,572/x
  3. Step 3: Cross multiply
    225,678x = 350,572 × 350,572
  4. Step 4: Simplify right side
    225,678x = 122,900,727,184
  5. Step 5: Solve for x
    x = 122,900,727,184/225,678
  6. Step 6: Final answer
    x = 544,584.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.