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Finding the Third Proportional to 133,963 and 207,241.50

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Solution

The third proportional to 133,963 and 207,241.50 is: 320,603.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,963 : 207,241.50 = 207,241.50 : x
  2. Step 2: Convert to fraction form
    133,963/207,241.50 = 207,241.50/x
  3. Step 3: Cross multiply
    133,963x = 207,241.50 × 207,241.50
  4. Step 4: Simplify right side
    133,963x = 42,949,039,322.25
  5. Step 5: Solve for x
    x = 42,949,039,322.25/133,963
  6. Step 6: Final answer
    x = 320,603.74

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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.