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Finding the Third Proportional to 149,024 and 319,376

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Solution

The third proportional to 149,024 and 319,376 is: 684,460.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,024 : 319,376 = 319,376 : x
  2. Step 2: Convert to fraction form
    149,024/319,376 = 319,376/x
  3. Step 3: Cross multiply
    149,024x = 319,376 × 319,376
  4. Step 4: Simplify right side
    149,024x = 102,001,029,376
  5. Step 5: Solve for x
    x = 102,001,029,376/149,024
  6. Step 6: Final answer
    x = 684,460.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.