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Finding the Third Proportional to 126,358 and 210,562

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Solution

The third proportional to 126,358 and 210,562 is: 350,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,358 : 210,562 = 210,562 : x
  2. Step 2: Convert to fraction form
    126,358/210,562 = 210,562/x
  3. Step 3: Cross multiply
    126,358x = 210,562 × 210,562
  4. Step 4: Simplify right side
    126,358x = 44,336,355,844
  5. Step 5: Solve for x
    x = 44,336,355,844/126,358
  6. Step 6: Final answer
    x = 350,878.90

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.