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Finding the Third Proportional to 142,696.50 and 209,907

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Solution

The third proportional to 142,696.50 and 209,907 is: 308,773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,696.50 : 209,907 = 209,907 : x
  2. Step 2: Convert to fraction form
    142,696.50/209,907 = 209,907/x
  3. Step 3: Cross multiply
    142,696.50x = 209,907 × 209,907
  4. Step 4: Simplify right side
    142,696.50x = 44,060,948,649
  5. Step 5: Solve for x
    x = 44,060,948,649/142,696.50
  6. Step 6: Final answer
    x = 308,773.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.