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Finding the Third Proportional to 145,222 and 233,956

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Solution

The third proportional to 145,222 and 233,956 is: 376,908.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,222 : 233,956 = 233,956 : x
  2. Step 2: Convert to fraction form
    145,222/233,956 = 233,956/x
  3. Step 3: Cross multiply
    145,222x = 233,956 × 233,956
  4. Step 4: Simplify right side
    145,222x = 54,735,409,936
  5. Step 5: Solve for x
    x = 54,735,409,936/145,222
  6. Step 6: Final answer
    x = 376,908.53

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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.