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Finding the Third Proportional to 163,722.94 and 357,882.47

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Solution

The third proportional to 163,722.94 and 357,882.47 is: 782,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,722.94 : 357,882.47 = 357,882.47 : x
  2. Step 2: Convert to fraction form
    163,722.94/357,882.47 = 357,882.47/x
  3. Step 3: Cross multiply
    163,722.94x = 357,882.47 × 357,882.47
  4. Step 4: Simplify right side
    163,722.94x = 128,079,861,438.60
  5. Step 5: Solve for x
    x = 128,079,861,438.60/163,722.94
  6. Step 6: Final answer
    x = 782,296.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.