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Finding the Third Proportional to 137,770 and 212,794

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Solution

The third proportional to 137,770 and 212,794 is: 328,673.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,770 : 212,794 = 212,794 : x
  2. Step 2: Convert to fraction form
    137,770/212,794 = 212,794/x
  3. Step 3: Cross multiply
    137,770x = 212,794 × 212,794
  4. Step 4: Simplify right side
    137,770x = 45,281,286,436
  5. Step 5: Solve for x
    x = 45,281,286,436/137,770
  6. Step 6: Final answer
    x = 328,673.05

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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.