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Finding the Third Proportional to 133,784 and 207,813

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Solution

The third proportional to 133,784 and 207,813 is: 322,805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,784 : 207,813 = 207,813 : x
  2. Step 2: Convert to fraction form
    133,784/207,813 = 207,813/x
  3. Step 3: Cross multiply
    133,784x = 207,813 × 207,813
  4. Step 4: Simplify right side
    133,784x = 43,186,242,969
  5. Step 5: Solve for x
    x = 43,186,242,969/133,784
  6. Step 6: Final answer
    x = 322,805.74

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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.