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Finding the Third Proportional to 152,156 and 328,370

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Solution

The third proportional to 152,156 and 328,370 is: 708,659.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,156 : 328,370 = 328,370 : x
  2. Step 2: Convert to fraction form
    152,156/328,370 = 328,370/x
  3. Step 3: Cross multiply
    152,156x = 328,370 × 328,370
  4. Step 4: Simplify right side
    152,156x = 107,826,856,900
  5. Step 5: Solve for x
    x = 107,826,856,900/152,156
  6. Step 6: Final answer
    x = 708,659.91

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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.