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Finding the Third Proportional to 155,098 and 233,944

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Solution

The third proportional to 155,098 and 233,944 is: 352,872.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,098 : 233,944 = 233,944 : x
  2. Step 2: Convert to fraction form
    155,098/233,944 = 233,944/x
  3. Step 3: Cross multiply
    155,098x = 233,944 × 233,944
  4. Step 4: Simplify right side
    155,098x = 54,729,795,136
  5. Step 5: Solve for x
    x = 54,729,795,136/155,098
  6. Step 6: Final answer
    x = 352,872.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.