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Finding the Third Proportional to 205,080 and 321,062

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Solution

The third proportional to 205,080 and 321,062 is: 502,637.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,080 : 321,062 = 321,062 : x
  2. Step 2: Convert to fraction form
    205,080/321,062 = 321,062/x
  3. Step 3: Cross multiply
    205,080x = 321,062 × 321,062
  4. Step 4: Simplify right side
    205,080x = 103,080,807,844
  5. Step 5: Solve for x
    x = 103,080,807,844/205,080
  6. Step 6: Final answer
    x = 502,637.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.