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Finding the Third Proportional to 152,720 and 328,040

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Solution

The third proportional to 152,720 and 328,040 is: 704,624.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,720 : 328,040 = 328,040 : x
  2. Step 2: Convert to fraction form
    152,720/328,040 = 328,040/x
  3. Step 3: Cross multiply
    152,720x = 328,040 × 328,040
  4. Step 4: Simplify right side
    152,720x = 107,610,241,600
  5. Step 5: Solve for x
    x = 107,610,241,600/152,720
  6. Step 6: Final answer
    x = 704,624.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.