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Finding the Third Proportional to 172,086.75 and 404,878.50

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Solution

The third proportional to 172,086.75 and 404,878.50 is: 952,581.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,086.75 : 404,878.50 = 404,878.50 : x
  2. Step 2: Convert to fraction form
    172,086.75/404,878.50 = 404,878.50/x
  3. Step 3: Cross multiply
    172,086.75x = 404,878.50 × 404,878.50
  4. Step 4: Simplify right side
    172,086.75x = 163,926,599,762.25
  5. Step 5: Solve for x
    x = 163,926,599,762.25/172,086.75
  6. Step 6: Final answer
    x = 952,581.18

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.