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Finding the Third Proportional to 131,185 and 202,574

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Solution

The third proportional to 131,185 and 202,574 is: 312,811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,185 : 202,574 = 202,574 : x
  2. Step 2: Convert to fraction form
    131,185/202,574 = 202,574/x
  3. Step 3: Cross multiply
    131,185x = 202,574 × 202,574
  4. Step 4: Simplify right side
    131,185x = 41,036,225,476
  5. Step 5: Solve for x
    x = 41,036,225,476/131,185
  6. Step 6: Final answer
    x = 312,811.87

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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.