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Finding the Third Proportional to 226,522 and 316,861

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Solution

The third proportional to 226,522 and 316,861 is: 443,228.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,522 : 316,861 = 316,861 : x
  2. Step 2: Convert to fraction form
    226,522/316,861 = 316,861/x
  3. Step 3: Cross multiply
    226,522x = 316,861 × 316,861
  4. Step 4: Simplify right side
    226,522x = 100,400,893,321
  5. Step 5: Solve for x
    x = 100,400,893,321/226,522
  6. Step 6: Final answer
    x = 443,228.00

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.