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Finding the Third Proportional to 152,360 and 328,134

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Solution

The third proportional to 152,360 and 328,134 is: 706,694.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,360 : 328,134 = 328,134 : x
  2. Step 2: Convert to fraction form
    152,360/328,134 = 328,134/x
  3. Step 3: Cross multiply
    152,360x = 328,134 × 328,134
  4. Step 4: Simplify right side
    152,360x = 107,671,921,956
  5. Step 5: Solve for x
    x = 107,671,921,956/152,360
  6. Step 6: Final answer
    x = 706,694.16

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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.