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Finding the Third Proportional to 129,306 and 199,410

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Solution

The third proportional to 129,306 and 199,410 is: 307,521.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,306 : 199,410 = 199,410 : x
  2. Step 2: Convert to fraction form
    129,306/199,410 = 199,410/x
  3. Step 3: Cross multiply
    129,306x = 199,410 × 199,410
  4. Step 4: Simplify right side
    129,306x = 39,764,348,100
  5. Step 5: Solve for x
    x = 39,764,348,100/129,306
  6. Step 6: Final answer
    x = 307,521.29

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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.