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Finding the Third Proportional to 140,969.25 and 295,777.13

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Solution

The third proportional to 140,969.25 and 295,777.13 is: 620,590.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,969.25 : 295,777.13 = 295,777.13 : x
  2. Step 2: Convert to fraction form
    140,969.25/295,777.13 = 295,777.13/x
  3. Step 3: Cross multiply
    140,969.25x = 295,777.13 × 295,777.13
  4. Step 4: Simplify right side
    140,969.25x = 87,484,107,673.27
  5. Step 5: Solve for x
    x = 87,484,107,673.27/140,969.25
  6. Step 6: Final answer
    x = 620,590.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.