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Finding the Third Proportional to 201,101 and 281,095

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Solution

The third proportional to 201,101 and 281,095 is: 392,909.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,101 : 281,095 = 281,095 : x
  2. Step 2: Convert to fraction form
    201,101/281,095 = 281,095/x
  3. Step 3: Cross multiply
    201,101x = 281,095 × 281,095
  4. Step 4: Simplify right side
    201,101x = 79,014,399,025
  5. Step 5: Solve for x
    x = 79,014,399,025/201,101
  6. Step 6: Final answer
    x = 392,909.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.