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Finding the Third Proportional to 233,424 and 355,968

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Solution

The third proportional to 233,424 and 355,968 is: 542,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,424 : 355,968 = 355,968 : x
  2. Step 2: Convert to fraction form
    233,424/355,968 = 355,968/x
  3. Step 3: Cross multiply
    233,424x = 355,968 × 355,968
  4. Step 4: Simplify right side
    233,424x = 126,713,217,024
  5. Step 5: Solve for x
    x = 126,713,217,024/233,424
  6. Step 6: Final answer
    x = 542,845.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.