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Finding the Third Proportional to 123,328 and 185,010

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Solution

The third proportional to 123,328 and 185,010 is: 277,542.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,328 : 185,010 = 185,010 : x
  2. Step 2: Convert to fraction form
    123,328/185,010 = 185,010/x
  3. Step 3: Cross multiply
    123,328x = 185,010 × 185,010
  4. Step 4: Simplify right side
    123,328x = 34,228,700,100
  5. Step 5: Solve for x
    x = 34,228,700,100/123,328
  6. Step 6: Final answer
    x = 277,542.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.