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Finding the Third Proportional to 132,984 and 287,104

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Solution

The third proportional to 132,984 and 287,104 is: 619,839.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,984 : 287,104 = 287,104 : x
  2. Step 2: Convert to fraction form
    132,984/287,104 = 287,104/x
  3. Step 3: Cross multiply
    132,984x = 287,104 × 287,104
  4. Step 4: Simplify right side
    132,984x = 82,428,706,816
  5. Step 5: Solve for x
    x = 82,428,706,816/132,984
  6. Step 6: Final answer
    x = 619,839.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.