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Finding the Third Proportional to 245,732 and 330,217

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Solution

The third proportional to 245,732 and 330,217 is: 443,748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,732 : 330,217 = 330,217 : x
  2. Step 2: Convert to fraction form
    245,732/330,217 = 330,217/x
  3. Step 3: Cross multiply
    245,732x = 330,217 × 330,217
  4. Step 4: Simplify right side
    245,732x = 109,043,267,089
  5. Step 5: Solve for x
    x = 109,043,267,089/245,732
  6. Step 6: Final answer
    x = 443,748.75

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.