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Finding the Third Proportional to 152,360.31 and 328,134

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Solution

The third proportional to 152,360.31 and 328,134 is: 706,692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,360.31 : 328,134 = 328,134 : x
  2. Step 2: Convert to fraction form
    152,360.31/328,134 = 328,134/x
  3. Step 3: Cross multiply
    152,360.31x = 328,134 × 328,134
  4. Step 4: Simplify right side
    152,360.31x = 107,671,921,956
  5. Step 5: Solve for x
    x = 107,671,921,956/152,360.31
  6. Step 6: Final answer
    x = 706,692.71

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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.