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Finding the Third Proportional to 131,240.50 and 202,657

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Solution

The third proportional to 131,240.50 and 202,657 is: 312,935.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,240.50 : 202,657 = 202,657 : x
  2. Step 2: Convert to fraction form
    131,240.50/202,657 = 202,657/x
  3. Step 3: Cross multiply
    131,240.50x = 202,657 × 202,657
  4. Step 4: Simplify right side
    131,240.50x = 41,069,859,649
  5. Step 5: Solve for x
    x = 41,069,859,649/131,240.50
  6. Step 6: Final answer
    x = 312,935.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.