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Finding the Third Proportional to 208,882.13 and 325,800.56

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Solution

The third proportional to 208,882.13 and 325,800.56 is: 508,162.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,882.13 : 325,800.56 = 325,800.56 : x
  2. Step 2: Convert to fraction form
    208,882.13/325,800.56 = 325,800.56/x
  3. Step 3: Cross multiply
    208,882.13x = 325,800.56 × 325,800.56
  4. Step 4: Simplify right side
    208,882.13x = 106,146,006,525.32
  5. Step 5: Solve for x
    x = 106,146,006,525.32/208,882.13
  6. Step 6: Final answer
    x = 508,162.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.