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Finding the Third Proportional to 128,487 and 204,610.50

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Solution

The third proportional to 128,487 and 204,610.50 is: 325,834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,487 : 204,610.50 = 204,610.50 : x
  2. Step 2: Convert to fraction form
    128,487/204,610.50 = 204,610.50/x
  3. Step 3: Cross multiply
    128,487x = 204,610.50 × 204,610.50
  4. Step 4: Simplify right side
    128,487x = 41,865,456,710.25
  5. Step 5: Solve for x
    x = 41,865,456,710.25/128,487
  6. Step 6: Final answer
    x = 325,834.18

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.