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Finding the Third Proportional to 140,482 and 307,244

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Solution

The third proportional to 140,482 and 307,244 is: 671,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,482 : 307,244 = 307,244 : x
  2. Step 2: Convert to fraction form
    140,482/307,244 = 307,244/x
  3. Step 3: Cross multiply
    140,482x = 307,244 × 307,244
  4. Step 4: Simplify right side
    140,482x = 94,398,875,536
  5. Step 5: Solve for x
    x = 94,398,875,536/140,482
  6. Step 6: Final answer
    x = 671,964.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.