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Finding the Third Proportional to 235,046.81 and 352,567.69

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Solution

The third proportional to 235,046.81 and 352,567.69 is: 528,847.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,046.81 : 352,567.69 = 352,567.69 : x
  2. Step 2: Convert to fraction form
    235,046.81/352,567.69 = 352,567.69/x
  3. Step 3: Cross multiply
    235,046.81x = 352,567.69 × 352,567.69
  4. Step 4: Simplify right side
    235,046.81x = 124,303,974,269.10
  5. Step 5: Solve for x
    x = 124,303,974,269.10/235,046.81
  6. Step 6: Final answer
    x = 528,847.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.