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Finding the Third Proportional to 152,352 and 356,040

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Solution

The third proportional to 152,352 and 356,040 is: 832,050

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,352 : 356,040 = 356,040 : x
  2. Step 2: Convert to fraction form
    152,352/356,040 = 356,040/x
  3. Step 3: Cross multiply
    152,352x = 356,040 × 356,040
  4. Step 4: Simplify right side
    152,352x = 126,764,481,600
  5. Step 5: Solve for x
    x = 126,764,481,600/152,352
  6. Step 6: Final answer
    x = 832,050

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.