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Finding the Third Proportional to 140,902.03 and 291,622.78

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Solution

The third proportional to 140,902.03 and 291,622.78 is: 603,567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,902.03 : 291,622.78 = 291,622.78 : x
  2. Step 2: Convert to fraction form
    140,902.03/291,622.78 = 291,622.78/x
  3. Step 3: Cross multiply
    140,902.03x = 291,622.78 × 291,622.78
  4. Step 4: Simplify right side
    140,902.03x = 85,043,846,543.99
  5. Step 5: Solve for x
    x = 85,043,846,543.99/140,902.03
  6. Step 6: Final answer
    x = 603,567.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.