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Finding the Third Proportional to 143,881.50 and 293,475

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Solution

The third proportional to 143,881.50 and 293,475 is: 598,600.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,881.50 : 293,475 = 293,475 : x
  2. Step 2: Convert to fraction form
    143,881.50/293,475 = 293,475/x
  3. Step 3: Cross multiply
    143,881.50x = 293,475 × 293,475
  4. Step 4: Simplify right side
    143,881.50x = 86,127,575,625
  5. Step 5: Solve for x
    x = 86,127,575,625/143,881.50
  6. Step 6: Final answer
    x = 598,600.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.