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Finding the Third Proportional to 198,571.50 and 282,973.50

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Solution

The third proportional to 198,571.50 and 282,973.50 is: 403,250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,571.50 : 282,973.50 = 282,973.50 : x
  2. Step 2: Convert to fraction form
    198,571.50/282,973.50 = 282,973.50/x
  3. Step 3: Cross multiply
    198,571.50x = 282,973.50 × 282,973.50
  4. Step 4: Simplify right side
    198,571.50x = 80,074,001,702.25
  5. Step 5: Solve for x
    x = 80,074,001,702.25/198,571.50
  6. Step 6: Final answer
    x = 403,250.22

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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.