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Finding the Third Proportional to 140,319 and 310,169.25

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Solution

The third proportional to 140,319 and 310,169.25 is: 685,616.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,319 : 310,169.25 = 310,169.25 : x
  2. Step 2: Convert to fraction form
    140,319/310,169.25 = 310,169.25/x
  3. Step 3: Cross multiply
    140,319x = 310,169.25 × 310,169.25
  4. Step 4: Simplify right side
    140,319x = 96,204,963,645.56
  5. Step 5: Solve for x
    x = 96,204,963,645.56/140,319
  6. Step 6: Final answer
    x = 685,616.09

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.