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Finding the Third Proportional to 135,033.75 and 292,970.25

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Solution

The third proportional to 135,033.75 and 292,970.25 is: 635,630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,033.75 : 292,970.25 = 292,970.25 : x
  2. Step 2: Convert to fraction form
    135,033.75/292,970.25 = 292,970.25/x
  3. Step 3: Cross multiply
    135,033.75x = 292,970.25 × 292,970.25
  4. Step 4: Simplify right side
    135,033.75x = 85,831,567,385.06
  5. Step 5: Solve for x
    x = 85,831,567,385.06/135,033.75
  6. Step 6: Final answer
    x = 635,630.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.