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Finding the Third Proportional to 157,887 and 242,671.50

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Solution

The third proportional to 157,887 and 242,671.50 is: 372,984.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,887 : 242,671.50 = 242,671.50 : x
  2. Step 2: Convert to fraction form
    157,887/242,671.50 = 242,671.50/x
  3. Step 3: Cross multiply
    157,887x = 242,671.50 × 242,671.50
  4. Step 4: Simplify right side
    157,887x = 58,889,456,912.25
  5. Step 5: Solve for x
    x = 58,889,456,912.25/157,887
  6. Step 6: Final answer
    x = 372,984.84

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.