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Finding the Third Proportional to 133,827.75 and 207,465.75

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Solution

The third proportional to 133,827.75 and 207,465.75 is: 321,622.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,827.75 : 207,465.75 = 207,465.75 : x
  2. Step 2: Convert to fraction form
    133,827.75/207,465.75 = 207,465.75/x
  3. Step 3: Cross multiply
    133,827.75x = 207,465.75 × 207,465.75
  4. Step 4: Simplify right side
    133,827.75x = 43,042,037,423.06
  5. Step 5: Solve for x
    x = 43,042,037,423.06/133,827.75
  6. Step 6: Final answer
    x = 321,622.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.