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Finding the Third Proportional to 226,955.25 and 318,070.13

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Solution

The third proportional to 226,955.25 and 318,070.13 is: 445,764.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,955.25 : 318,070.13 = 318,070.13 : x
  2. Step 2: Convert to fraction form
    226,955.25/318,070.13 = 318,070.13/x
  3. Step 3: Cross multiply
    226,955.25x = 318,070.13 × 318,070.13
  4. Step 4: Simplify right side
    226,955.25x = 101,168,604,417.52
  5. Step 5: Solve for x
    x = 101,168,604,417.52/226,955.25
  6. Step 6: Final answer
    x = 445,764.55

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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.