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Finding the Third Proportional to 182,069.75 and 284,989

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Solution

The third proportional to 182,069.75 and 284,989 is: 446,085.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,069.75 : 284,989 = 284,989 : x
  2. Step 2: Convert to fraction form
    182,069.75/284,989 = 284,989/x
  3. Step 3: Cross multiply
    182,069.75x = 284,989 × 284,989
  4. Step 4: Simplify right side
    182,069.75x = 81,218,730,121
  5. Step 5: Solve for x
    x = 81,218,730,121/182,069.75
  6. Step 6: Final answer
    x = 446,085.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.