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Finding the Third Proportional to 201,414.75 and 438,766.50

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Solution

The third proportional to 201,414.75 and 438,766.50 is: 955,818.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,414.75 : 438,766.50 = 438,766.50 : x
  2. Step 2: Convert to fraction form
    201,414.75/438,766.50 = 438,766.50/x
  3. Step 3: Cross multiply
    201,414.75x = 438,766.50 × 438,766.50
  4. Step 4: Simplify right side
    201,414.75x = 192,516,041,522.25
  5. Step 5: Solve for x
    x = 192,516,041,522.25/201,414.75
  6. Step 6: Final answer
    x = 955,818.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.