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Finding the Third Proportional to 140,808 and 293,267

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Solution

The third proportional to 140,808 and 293,267 is: 610,800.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,808 : 293,267 = 293,267 : x
  2. Step 2: Convert to fraction form
    140,808/293,267 = 293,267/x
  3. Step 3: Cross multiply
    140,808x = 293,267 × 293,267
  4. Step 4: Simplify right side
    140,808x = 86,005,533,289
  5. Step 5: Solve for x
    x = 86,005,533,289/140,808
  6. Step 6: Final answer
    x = 610,800.05

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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.