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Finding the Third Proportional to 227,916 and 353,820

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Solution

The third proportional to 227,916 and 353,820 is: 549,275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,916 : 353,820 = 353,820 : x
  2. Step 2: Convert to fraction form
    227,916/353,820 = 353,820/x
  3. Step 3: Cross multiply
    227,916x = 353,820 × 353,820
  4. Step 4: Simplify right side
    227,916x = 125,188,592,400
  5. Step 5: Solve for x
    x = 125,188,592,400/227,916
  6. Step 6: Final answer
    x = 549,275.14

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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.