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Finding the Third Proportional to 213,115 and 355,141.50

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Solution

The third proportional to 213,115 and 355,141.50 is: 591,818.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,115 : 355,141.50 = 355,141.50 : x
  2. Step 2: Convert to fraction form
    213,115/355,141.50 = 355,141.50/x
  3. Step 3: Cross multiply
    213,115x = 355,141.50 × 355,141.50
  4. Step 4: Simplify right side
    213,115x = 126,125,485,022.25
  5. Step 5: Solve for x
    x = 126,125,485,022.25/213,115
  6. Step 6: Final answer
    x = 591,818.90

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.