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Finding the Third Proportional to 151,518 and 319,014

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Solution

The third proportional to 151,518 and 319,014 is: 671,668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,518 : 319,014 = 319,014 : x
  2. Step 2: Convert to fraction form
    151,518/319,014 = 319,014/x
  3. Step 3: Cross multiply
    151,518x = 319,014 × 319,014
  4. Step 4: Simplify right side
    151,518x = 101,769,932,196
  5. Step 5: Solve for x
    x = 101,769,932,196/151,518
  6. Step 6: Final answer
    x = 671,668.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.