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Finding the Third Proportional to 155,904 and 242,976

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Solution

The third proportional to 155,904 and 242,976 is: 378,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,904 : 242,976 = 242,976 : x
  2. Step 2: Convert to fraction form
    155,904/242,976 = 242,976/x
  3. Step 3: Cross multiply
    155,904x = 242,976 × 242,976
  4. Step 4: Simplify right side
    155,904x = 59,037,336,576
  5. Step 5: Solve for x
    x = 59,037,336,576/155,904
  6. Step 6: Final answer
    x = 378,677.50

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.