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Finding the Third Proportional to 140,709 and 295,998

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Solution

The third proportional to 140,709 and 295,998 is: 622,666.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,709 : 295,998 = 295,998 : x
  2. Step 2: Convert to fraction form
    140,709/295,998 = 295,998/x
  3. Step 3: Cross multiply
    140,709x = 295,998 × 295,998
  4. Step 4: Simplify right side
    140,709x = 87,614,816,004
  5. Step 5: Solve for x
    x = 87,614,816,004/140,709
  6. Step 6: Final answer
    x = 622,666.75

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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.