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Finding the Third Proportional to 140,856 and 306,984

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Solution

The third proportional to 140,856 and 306,984 is: 669,046.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,856 : 306,984 = 306,984 : x
  2. Step 2: Convert to fraction form
    140,856/306,984 = 306,984/x
  3. Step 3: Cross multiply
    140,856x = 306,984 × 306,984
  4. Step 4: Simplify right side
    140,856x = 94,239,176,256
  5. Step 5: Solve for x
    x = 94,239,176,256/140,856
  6. Step 6: Final answer
    x = 669,046.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.