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Finding the Third Proportional to 152,671.50 and 336,339

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Solution

The third proportional to 152,671.50 and 336,339 is: 740,962.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,671.50 : 336,339 = 336,339 : x
  2. Step 2: Convert to fraction form
    152,671.50/336,339 = 336,339/x
  3. Step 3: Cross multiply
    152,671.50x = 336,339 × 336,339
  4. Step 4: Simplify right side
    152,671.50x = 113,123,922,921
  5. Step 5: Solve for x
    x = 113,123,922,921/152,671.50
  6. Step 6: Final answer
    x = 740,962.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.