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Finding the Third Proportional to 129,818 and 200,459

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Solution

The third proportional to 129,818 and 200,459 is: 309,539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,818 : 200,459 = 200,459 : x
  2. Step 2: Convert to fraction form
    129,818/200,459 = 200,459/x
  3. Step 3: Cross multiply
    129,818x = 200,459 × 200,459
  4. Step 4: Simplify right side
    129,818x = 40,183,810,681
  5. Step 5: Solve for x
    x = 40,183,810,681/129,818
  6. Step 6: Final answer
    x = 309,539.59

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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.