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Finding the Third Proportional to 151,378.56 and 329,352.80

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Solution

The third proportional to 151,378.56 and 329,352.80 is: 716,569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,378.56 : 329,352.80 = 329,352.80 : x
  2. Step 2: Convert to fraction form
    151,378.56/329,352.80 = 329,352.80/x
  3. Step 3: Cross multiply
    151,378.56x = 329,352.80 × 329,352.80
  4. Step 4: Simplify right side
    151,378.56x = 108,473,268,668.99
  5. Step 5: Solve for x
    x = 108,473,268,668.99/151,378.56
  6. Step 6: Final answer
    x = 716,569.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.