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Finding the Third Proportional to 205,596 and 307,550

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Solution

The third proportional to 205,596 and 307,550 is: 460,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,596 : 307,550 = 307,550 : x
  2. Step 2: Convert to fraction form
    205,596/307,550 = 307,550/x
  3. Step 3: Cross multiply
    205,596x = 307,550 × 307,550
  4. Step 4: Simplify right side
    205,596x = 94,587,002,500
  5. Step 5: Solve for x
    x = 94,587,002,500/205,596
  6. Step 6: Final answer
    x = 460,062.46

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