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Finding the Third Proportional to 217,261 and 345,709.50

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Solution

The third proportional to 217,261 and 345,709.50 is: 550,099.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,261 : 345,709.50 = 345,709.50 : x
  2. Step 2: Convert to fraction form
    217,261/345,709.50 = 345,709.50/x
  3. Step 3: Cross multiply
    217,261x = 345,709.50 × 345,709.50
  4. Step 4: Simplify right side
    217,261x = 119,515,058,390.25
  5. Step 5: Solve for x
    x = 119,515,058,390.25/217,261
  6. Step 6: Final answer
    x = 550,099.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.