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Finding the Third Proportional to 148,008 and 319,668

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Solution

The third proportional to 148,008 and 319,668 is: 690,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,008 : 319,668 = 319,668 : x
  2. Step 2: Convert to fraction form
    148,008/319,668 = 319,668/x
  3. Step 3: Cross multiply
    148,008x = 319,668 × 319,668
  4. Step 4: Simplify right side
    148,008x = 102,187,630,224
  5. Step 5: Solve for x
    x = 102,187,630,224/148,008
  6. Step 6: Final answer
    x = 690,419.64

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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.