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Finding the Third Proportional to 148,024 and 319,724

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Solution

The third proportional to 148,024 and 319,724 is: 690,586.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,024 : 319,724 = 319,724 : x
  2. Step 2: Convert to fraction form
    148,024/319,724 = 319,724/x
  3. Step 3: Cross multiply
    148,024x = 319,724 × 319,724
  4. Step 4: Simplify right side
    148,024x = 102,223,436,176
  5. Step 5: Solve for x
    x = 102,223,436,176/148,024
  6. Step 6: Final answer
    x = 690,586.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.