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Finding the Third Proportional to 145,881 and 337,923

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Solution

The third proportional to 145,881 and 337,923 is: 782,774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,881 : 337,923 = 337,923 : x
  2. Step 2: Convert to fraction form
    145,881/337,923 = 337,923/x
  3. Step 3: Cross multiply
    145,881x = 337,923 × 337,923
  4. Step 4: Simplify right side
    145,881x = 114,191,953,929
  5. Step 5: Solve for x
    x = 114,191,953,929/145,881
  6. Step 6: Final answer
    x = 782,774.69

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.