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Finding the Third Proportional to 141,498 and 212,229

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Solution

The third proportional to 141,498 and 212,229 is: 318,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,498 : 212,229 = 212,229 : x
  2. Step 2: Convert to fraction form
    141,498/212,229 = 212,229/x
  3. Step 3: Cross multiply
    141,498x = 212,229 × 212,229
  4. Step 4: Simplify right side
    141,498x = 45,041,148,441
  5. Step 5: Solve for x
    x = 45,041,148,441/141,498
  6. Step 6: Final answer
    x = 318,316.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.