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Finding the Third Proportional to 233,040 and 356,352

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Solution

The third proportional to 233,040 and 356,352 is: 544,913.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,040 : 356,352 = 356,352 : x
  2. Step 2: Convert to fraction form
    233,040/356,352 = 356,352/x
  3. Step 3: Cross multiply
    233,040x = 356,352 × 356,352
  4. Step 4: Simplify right side
    233,040x = 126,986,747,904
  5. Step 5: Solve for x
    x = 126,986,747,904/233,040
  6. Step 6: Final answer
    x = 544,913.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.