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Finding the Third Proportional to 155,715 and 243,949.50

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Solution

The third proportional to 155,715 and 243,949.50 is: 382,181.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,715 : 243,949.50 = 243,949.50 : x
  2. Step 2: Convert to fraction form
    155,715/243,949.50 = 243,949.50/x
  3. Step 3: Cross multiply
    155,715x = 243,949.50 × 243,949.50
  4. Step 4: Simplify right side
    155,715x = 59,511,358,550.25
  5. Step 5: Solve for x
    x = 59,511,358,550.25/155,715
  6. Step 6: Final answer
    x = 382,181.28

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.