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Finding the Third Proportional to 235,319.63 and 360,046.69

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Solution

The third proportional to 235,319.63 and 360,046.69 is: 550,883.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,319.63 : 360,046.69 = 360,046.69 : x
  2. Step 2: Convert to fraction form
    235,319.63/360,046.69 = 360,046.69/x
  3. Step 3: Cross multiply
    235,319.63x = 360,046.69 × 360,046.69
  4. Step 4: Simplify right side
    235,319.63x = 129,633,617,179.72
  5. Step 5: Solve for x
    x = 129,633,617,179.72/235,319.63
  6. Step 6: Final answer
    x = 550,883.15

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.