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Finding the Third Proportional to 140,814 and 293,280.75

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Solution

The third proportional to 140,814 and 293,280.75 is: 610,831.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,814 : 293,280.75 = 293,280.75 : x
  2. Step 2: Convert to fraction form
    140,814/293,280.75 = 293,280.75/x
  3. Step 3: Cross multiply
    140,814x = 293,280.75 × 293,280.75
  4. Step 4: Simplify right side
    140,814x = 86,013,598,320.56
  5. Step 5: Solve for x
    x = 86,013,598,320.56/140,814
  6. Step 6: Final answer
    x = 610,831.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.