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Finding the Third Proportional to 153,472.50 and 235,122.75

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Solution

The third proportional to 153,472.50 and 235,122.75 is: 360,212.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,472.50 : 235,122.75 = 235,122.75 : x
  2. Step 2: Convert to fraction form
    153,472.50/235,122.75 = 235,122.75/x
  3. Step 3: Cross multiply
    153,472.50x = 235,122.75 × 235,122.75
  4. Step 4: Simplify right side
    153,472.50x = 55,282,707,567.56
  5. Step 5: Solve for x
    x = 55,282,707,567.56/153,472.50
  6. Step 6: Final answer
    x = 360,212.47

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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.