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Finding the Third Proportional to 149,089 and 319,480

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Solution

The third proportional to 149,089 and 319,480 is: 684,607.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,089 : 319,480 = 319,480 : x
  2. Step 2: Convert to fraction form
    149,089/319,480 = 319,480/x
  3. Step 3: Cross multiply
    149,089x = 319,480 × 319,480
  4. Step 4: Simplify right side
    149,089x = 102,067,470,400
  5. Step 5: Solve for x
    x = 102,067,470,400/149,089
  6. Step 6: Final answer
    x = 684,607.65

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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.