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Finding the Third Proportional to 136,436 and 210,482

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Solution

The third proportional to 136,436 and 210,482 is: 324,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,436 : 210,482 = 210,482 : x
  2. Step 2: Convert to fraction form
    136,436/210,482 = 210,482/x
  3. Step 3: Cross multiply
    136,436x = 210,482 × 210,482
  4. Step 4: Simplify right side
    136,436x = 44,302,672,324
  5. Step 5: Solve for x
    x = 44,302,672,324/136,436
  6. Step 6: Final answer
    x = 324,713.95

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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.