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Finding the Third Proportional to 182,834 and 268,959

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Solution

The third proportional to 182,834 and 268,959 is: 395,653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,834 : 268,959 = 268,959 : x
  2. Step 2: Convert to fraction form
    182,834/268,959 = 268,959/x
  3. Step 3: Cross multiply
    182,834x = 268,959 × 268,959
  4. Step 4: Simplify right side
    182,834x = 72,338,943,681
  5. Step 5: Solve for x
    x = 72,338,943,681/182,834
  6. Step 6: Final answer
    x = 395,653.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.