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Finding the Third Proportional to 135,299.25 and 292,050

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Solution

The third proportional to 135,299.25 and 292,050 is: 630,404.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,299.25 : 292,050 = 292,050 : x
  2. Step 2: Convert to fraction form
    135,299.25/292,050 = 292,050/x
  3. Step 3: Cross multiply
    135,299.25x = 292,050 × 292,050
  4. Step 4: Simplify right side
    135,299.25x = 85,293,202,500
  5. Step 5: Solve for x
    x = 85,293,202,500/135,299.25
  6. Step 6: Final answer
    x = 630,404.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.