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Finding the Third Proportional to 201,750.75 and 269,411.06

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Solution

The third proportional to 201,750.75 and 269,411.06 is: 359,762.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,750.75 : 269,411.06 = 269,411.06 : x
  2. Step 2: Convert to fraction form
    201,750.75/269,411.06 = 269,411.06/x
  3. Step 3: Cross multiply
    201,750.75x = 269,411.06 × 269,411.06
  4. Step 4: Simplify right side
    201,750.75x = 72,582,320,597.38
  5. Step 5: Solve for x
    x = 72,582,320,597.38/201,750.75
  6. Step 6: Final answer
    x = 359,762.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.