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Finding the Third Proportional to 227,034 and 355,374

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Solution

The third proportional to 227,034 and 355,374 is: 556,263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,034 : 355,374 = 355,374 : x
  2. Step 2: Convert to fraction form
    227,034/355,374 = 355,374/x
  3. Step 3: Cross multiply
    227,034x = 355,374 × 355,374
  4. Step 4: Simplify right side
    227,034x = 126,290,679,876
  5. Step 5: Solve for x
    x = 126,290,679,876/227,034
  6. Step 6: Final answer
    x = 556,263.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.