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Finding the Third Proportional to 153,338.06 and 235,360.69

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Solution

The third proportional to 153,338.06 and 235,360.69 is: 361,258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,338.06 : 235,360.69 = 235,360.69 : x
  2. Step 2: Convert to fraction form
    153,338.06/235,360.69 = 235,360.69/x
  3. Step 3: Cross multiply
    153,338.06x = 235,360.69 × 235,360.69
  4. Step 4: Simplify right side
    153,338.06x = 55,394,653,220.47
  5. Step 5: Solve for x
    x = 55,394,653,220.47/153,338.06
  6. Step 6: Final answer
    x = 361,258.34

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Why These Related Problems?

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