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Finding the Third Proportional to 152,024 and 328,240

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Solution

The third proportional to 152,024 and 328,240 is: 708,713.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,024 : 328,240 = 328,240 : x
  2. Step 2: Convert to fraction form
    152,024/328,240 = 328,240/x
  3. Step 3: Cross multiply
    152,024x = 328,240 × 328,240
  4. Step 4: Simplify right side
    152,024x = 107,741,497,600
  5. Step 5: Solve for x
    x = 107,741,497,600/152,024
  6. Step 6: Final answer
    x = 708,713.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.