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Finding the Third Proportional to 133,948.50 and 202,644.75

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Solution

The third proportional to 133,948.50 and 202,644.75 is: 306,572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,948.50 : 202,644.75 = 202,644.75 : x
  2. Step 2: Convert to fraction form
    133,948.50/202,644.75 = 202,644.75/x
  3. Step 3: Cross multiply
    133,948.50x = 202,644.75 × 202,644.75
  4. Step 4: Simplify right side
    133,948.50x = 41,064,894,702.56
  5. Step 5: Solve for x
    x = 41,064,894,702.56/133,948.50
  6. Step 6: Final answer
    x = 306,572.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.