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Finding the Third Proportional to 235,200.38 and 358,331.06

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Solution

The third proportional to 235,200.38 and 358,331.06 is: 545,922.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,200.38 : 358,331.06 = 358,331.06 : x
  2. Step 2: Convert to fraction form
    235,200.38/358,331.06 = 358,331.06/x
  3. Step 3: Cross multiply
    235,200.38x = 358,331.06 × 358,331.06
  4. Step 4: Simplify right side
    235,200.38x = 128,401,150,352.38
  5. Step 5: Solve for x
    x = 128,401,150,352.38/235,200.38
  6. Step 6: Final answer
    x = 545,922.39

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.