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Finding the Third Proportional to 132,381.84 and 286,086.94

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Solution

The third proportional to 132,381.84 and 286,086.94 is: 618,254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,381.84 : 286,086.94 = 286,086.94 : x
  2. Step 2: Convert to fraction form
    132,381.84/286,086.94 = 286,086.94/x
  3. Step 3: Cross multiply
    132,381.84x = 286,086.94 × 286,086.94
  4. Step 4: Simplify right side
    132,381.84x = 81,845,735,808.13
  5. Step 5: Solve for x
    x = 81,845,735,808.13/132,381.84
  6. Step 6: Final answer
    x = 618,254.99

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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.