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Finding the Third Proportional to 82,813.50 and 175,473

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Solution

The third proportional to 82,813.50 and 175,473 is: 371,808.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,813.50 : 175,473 = 175,473 : x
  2. Step 2: Convert to fraction form
    82,813.50/175,473 = 175,473/x
  3. Step 3: Cross multiply
    82,813.50x = 175,473 × 175,473
  4. Step 4: Simplify right side
    82,813.50x = 30,790,773,729
  5. Step 5: Solve for x
    x = 30,790,773,729/82,813.50
  6. Step 6: Final answer
    x = 371,808.63

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.