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Finding the Third Proportional to 177,457.50 and 274,934.25

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Solution

The third proportional to 177,457.50 and 274,934.25 is: 425,954.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,457.50 : 274,934.25 = 274,934.25 : x
  2. Step 2: Convert to fraction form
    177,457.50/274,934.25 = 274,934.25/x
  3. Step 3: Cross multiply
    177,457.50x = 274,934.25 × 274,934.25
  4. Step 4: Simplify right side
    177,457.50x = 75,588,841,823.06
  5. Step 5: Solve for x
    x = 75,588,841,823.06/177,457.50
  6. Step 6: Final answer
    x = 425,954.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.