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Finding the Third Proportional to 178,887 and 242,086.50

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Solution

The third proportional to 178,887 and 242,086.50 is: 327,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,887 : 242,086.50 = 242,086.50 : x
  2. Step 2: Convert to fraction form
    178,887/242,086.50 = 242,086.50/x
  3. Step 3: Cross multiply
    178,887x = 242,086.50 × 242,086.50
  4. Step 4: Simplify right side
    178,887x = 58,605,873,482.25
  5. Step 5: Solve for x
    x = 58,605,873,482.25/178,887
  6. Step 6: Final answer
    x = 327,613.93

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.