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Finding the Third Proportional to 152,780 and 328,964

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Solution

The third proportional to 152,780 and 328,964 is: 708,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,780 : 328,964 = 328,964 : x
  2. Step 2: Convert to fraction form
    152,780/328,964 = 328,964/x
  3. Step 3: Cross multiply
    152,780x = 328,964 × 328,964
  4. Step 4: Simplify right side
    152,780x = 108,217,313,296
  5. Step 5: Solve for x
    x = 108,217,313,296/152,780
  6. Step 6: Final answer
    x = 708,321.20

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