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Finding the Third Proportional to 140,482 and 307,192

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Solution

The third proportional to 140,482 and 307,192 is: 671,736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,482 : 307,192 = 307,192 : x
  2. Step 2: Convert to fraction form
    140,482/307,192 = 307,192/x
  3. Step 3: Cross multiply
    140,482x = 307,192 × 307,192
  4. Step 4: Simplify right side
    140,482x = 94,366,924,864
  5. Step 5: Solve for x
    x = 94,366,924,864/140,482
  6. Step 6: Final answer
    x = 671,736.77

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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.