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Finding the Third Proportional to 128,215 and 279,006.50

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Solution

The third proportional to 128,215 and 279,006.50 is: 607,141.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,215 : 279,006.50 = 279,006.50 : x
  2. Step 2: Convert to fraction form
    128,215/279,006.50 = 279,006.50/x
  3. Step 3: Cross multiply
    128,215x = 279,006.50 × 279,006.50
  4. Step 4: Simplify right side
    128,215x = 77,844,627,042.25
  5. Step 5: Solve for x
    x = 77,844,627,042.25/128,215
  6. Step 6: Final answer
    x = 607,141.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.