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Finding the Third Proportional to 148,300 and 319,929

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Solution

The third proportional to 148,300 and 319,929 is: 690,185.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,300 : 319,929 = 319,929 : x
  2. Step 2: Convert to fraction form
    148,300/319,929 = 319,929/x
  3. Step 3: Cross multiply
    148,300x = 319,929 × 319,929
  4. Step 4: Simplify right side
    148,300x = 102,354,565,041
  5. Step 5: Solve for x
    x = 102,354,565,041/148,300
  6. Step 6: Final answer
    x = 690,185.87

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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.