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Finding the Third Proportional to 227,940 and 353,854

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Solution

The third proportional to 227,940 and 353,854 is: 549,322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,940 : 353,854 = 353,854 : x
  2. Step 2: Convert to fraction form
    227,940/353,854 = 353,854/x
  3. Step 3: Cross multiply
    227,940x = 353,854 × 353,854
  4. Step 4: Simplify right side
    227,940x = 125,212,653,316
  5. Step 5: Solve for x
    x = 125,212,653,316/227,940
  6. Step 6: Final answer
    x = 549,322.86

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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.