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Finding the Third Proportional to 152,563.50 and 217,606.50

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Solution

The third proportional to 152,563.50 and 217,606.50 is: 310,379.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,563.50 : 217,606.50 = 217,606.50 : x
  2. Step 2: Convert to fraction form
    152,563.50/217,606.50 = 217,606.50/x
  3. Step 3: Cross multiply
    152,563.50x = 217,606.50 × 217,606.50
  4. Step 4: Simplify right side
    152,563.50x = 47,352,588,842.25
  5. Step 5: Solve for x
    x = 47,352,588,842.25/152,563.50
  6. Step 6: Final answer
    x = 310,379.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.