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Finding the Third Proportional to 116,032.50 and 246,098.25

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Solution

The third proportional to 116,032.50 and 246,098.25 is: 521,960.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,032.50 : 246,098.25 = 246,098.25 : x
  2. Step 2: Convert to fraction form
    116,032.50/246,098.25 = 246,098.25/x
  3. Step 3: Cross multiply
    116,032.50x = 246,098.25 × 246,098.25
  4. Step 4: Simplify right side
    116,032.50x = 60,564,348,653.06
  5. Step 5: Solve for x
    x = 60,564,348,653.06/116,032.50
  6. Step 6: Final answer
    x = 521,960.22

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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.