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Finding the Third Proportional to 145,226 and 233,961

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Solution

The third proportional to 145,226 and 233,961 is: 376,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,226 : 233,961 = 233,961 : x
  2. Step 2: Convert to fraction form
    145,226/233,961 = 233,961/x
  3. Step 3: Cross multiply
    145,226x = 233,961 × 233,961
  4. Step 4: Simplify right side
    145,226x = 54,737,749,521
  5. Step 5: Solve for x
    x = 54,737,749,521/145,226
  6. Step 6: Final answer
    x = 376,914.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.