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Finding the Third Proportional to 142,808.25 and 313,637.25

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Solution

The third proportional to 142,808.25 and 313,637.25 is: 688,814.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,808.25 : 313,637.25 = 313,637.25 : x
  2. Step 2: Convert to fraction form
    142,808.25/313,637.25 = 313,637.25/x
  3. Step 3: Cross multiply
    142,808.25x = 313,637.25 × 313,637.25
  4. Step 4: Simplify right side
    142,808.25x = 98,368,324,587.56
  5. Step 5: Solve for x
    x = 98,368,324,587.56/142,808.25
  6. Step 6: Final answer
    x = 688,814.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.