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Finding the Third Proportional to 152,782 and 328,968

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Solution

The third proportional to 152,782 and 328,968 is: 708,329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,782 : 328,968 = 328,968 : x
  2. Step 2: Convert to fraction form
    152,782/328,968 = 328,968/x
  3. Step 3: Cross multiply
    152,782x = 328,968 × 328,968
  4. Step 4: Simplify right side
    152,782x = 108,219,945,024
  5. Step 5: Solve for x
    x = 108,219,945,024/152,782
  6. Step 6: Final answer
    x = 708,329.16

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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.