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Finding the Third Proportional to 215,005.50 and 333,594

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Solution

The third proportional to 215,005.50 and 333,594 is: 517,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,005.50 : 333,594 = 333,594 : x
  2. Step 2: Convert to fraction form
    215,005.50/333,594 = 333,594/x
  3. Step 3: Cross multiply
    215,005.50x = 333,594 × 333,594
  4. Step 4: Simplify right side
    215,005.50x = 111,284,956,836
  5. Step 5: Solve for x
    x = 111,284,956,836/215,005.50
  6. Step 6: Final answer
    x = 517,591.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.