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Finding the Third Proportional to 202,693.50 and 434,907

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Solution

The third proportional to 202,693.50 and 434,907 is: 933,153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,693.50 : 434,907 = 434,907 : x
  2. Step 2: Convert to fraction form
    202,693.50/434,907 = 434,907/x
  3. Step 3: Cross multiply
    202,693.50x = 434,907 × 434,907
  4. Step 4: Simplify right side
    202,693.50x = 189,144,098,649
  5. Step 5: Solve for x
    x = 189,144,098,649/202,693.50
  6. Step 6: Final answer
    x = 933,153.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.