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Finding the Third Proportional to 136,822.50 and 293,874.75

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Solution

The third proportional to 136,822.50 and 293,874.75 is: 631,200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,822.50 : 293,874.75 = 293,874.75 : x
  2. Step 2: Convert to fraction form
    136,822.50/293,874.75 = 293,874.75/x
  3. Step 3: Cross multiply
    136,822.50x = 293,874.75 × 293,874.75
  4. Step 4: Simplify right side
    136,822.50x = 86,362,368,687.56
  5. Step 5: Solve for x
    x = 86,362,368,687.56/136,822.50
  6. Step 6: Final answer
    x = 631,200.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.