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Finding the Third Proportional to 240,397 and 366,951

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Solution

The third proportional to 240,397 and 366,951 is: 560,127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,397 : 366,951 = 366,951 : x
  2. Step 2: Convert to fraction form
    240,397/366,951 = 366,951/x
  3. Step 3: Cross multiply
    240,397x = 366,951 × 366,951
  4. Step 4: Simplify right side
    240,397x = 134,653,036,401
  5. Step 5: Solve for x
    x = 134,653,036,401/240,397
  6. Step 6: Final answer
    x = 560,127.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.