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Finding the Third Proportional to 207,616.92 and 325,259.30

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Solution

The third proportional to 207,616.92 and 325,259.30 is: 509,561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,616.92 : 325,259.30 = 325,259.30 : x
  2. Step 2: Convert to fraction form
    207,616.92/325,259.30 = 325,259.30/x
  3. Step 3: Cross multiply
    207,616.92x = 325,259.30 × 325,259.30
  4. Step 4: Simplify right side
    207,616.92x = 105,793,610,203.62
  5. Step 5: Solve for x
    x = 105,793,610,203.62/207,616.92
  6. Step 6: Final answer
    x = 509,561.60

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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.