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Finding the Third Proportional to 159,583 and 242,690.50

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Solution

The third proportional to 159,583 and 242,690.50 is: 369,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,583 : 242,690.50 = 242,690.50 : x
  2. Step 2: Convert to fraction form
    159,583/242,690.50 = 242,690.50/x
  3. Step 3: Cross multiply
    159,583x = 242,690.50 × 242,690.50
  4. Step 4: Simplify right side
    159,583x = 58,898,678,790.25
  5. Step 5: Solve for x
    x = 58,898,678,790.25/159,583
  6. Step 6: Final answer
    x = 369,078.65

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.