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Finding the Third Proportional to 227,666 and 334,117

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Solution

The third proportional to 227,666 and 334,117 is: 490,341.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,666 : 334,117 = 334,117 : x
  2. Step 2: Convert to fraction form
    227,666/334,117 = 334,117/x
  3. Step 3: Cross multiply
    227,666x = 334,117 × 334,117
  4. Step 4: Simplify right side
    227,666x = 111,634,169,689
  5. Step 5: Solve for x
    x = 111,634,169,689/227,666
  6. Step 6: Final answer
    x = 490,341.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.