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Finding the Third Proportional to 239,334.75 and 363,973.50

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Solution

The third proportional to 239,334.75 and 363,973.50 is: 553,520.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,334.75 : 363,973.50 = 363,973.50 : x
  2. Step 2: Convert to fraction form
    239,334.75/363,973.50 = 363,973.50/x
  3. Step 3: Cross multiply
    239,334.75x = 363,973.50 × 363,973.50
  4. Step 4: Simplify right side
    239,334.75x = 132,476,708,702.25
  5. Step 5: Solve for x
    x = 132,476,708,702.25/239,334.75
  6. Step 6: Final answer
    x = 553,520.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.