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Finding the Third Proportional to 135,518 and 201,314

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Solution

The third proportional to 135,518 and 201,314 is: 299,054.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,518 : 201,314 = 201,314 : x
  2. Step 2: Convert to fraction form
    135,518/201,314 = 201,314/x
  3. Step 3: Cross multiply
    135,518x = 201,314 × 201,314
  4. Step 4: Simplify right side
    135,518x = 40,527,326,596
  5. Step 5: Solve for x
    x = 40,527,326,596/135,518
  6. Step 6: Final answer
    x = 299,054.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.