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Finding the Third Proportional to 153,339.75 and 235,363.13

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Solution

The third proportional to 153,339.75 and 235,363.13 is: 361,261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,339.75 : 235,363.13 = 235,363.13 : x
  2. Step 2: Convert to fraction form
    153,339.75/235,363.13 = 235,363.13/x
  3. Step 3: Cross multiply
    153,339.75x = 235,363.13 × 235,363.13
  4. Step 4: Simplify right side
    153,339.75x = 55,395,800,609.77
  5. Step 5: Solve for x
    x = 55,395,800,609.77/153,339.75
  6. Step 6: Final answer
    x = 361,261.84

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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.