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Finding the Third Proportional to 205,266 and 307,080

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Solution

The third proportional to 205,266 and 307,080 is: 459,394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,266 : 307,080 = 307,080 : x
  2. Step 2: Convert to fraction form
    205,266/307,080 = 307,080/x
  3. Step 3: Cross multiply
    205,266x = 307,080 × 307,080
  4. Step 4: Simplify right side
    205,266x = 94,298,126,400
  5. Step 5: Solve for x
    x = 94,298,126,400/205,266
  6. Step 6: Final answer
    x = 459,394.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.