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Finding the Third Proportional to 151,138.41 and 235,899.84

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Solution

The third proportional to 151,138.41 and 235,899.84 is: 368,197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,138.41 : 235,899.84 = 235,899.84 : x
  2. Step 2: Convert to fraction form
    151,138.41/235,899.84 = 235,899.84/x
  3. Step 3: Cross multiply
    151,138.41x = 235,899.84 × 235,899.84
  4. Step 4: Simplify right side
    151,138.41x = 55,648,736,281.27
  5. Step 5: Solve for x
    x = 55,648,736,281.27/151,138.41
  6. Step 6: Final answer
    x = 368,197.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.