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Finding the Third Proportional to 155,717 and 240,581.50

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Solution

The third proportional to 155,717 and 240,581.50 is: 371,696.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,717 : 240,581.50 = 240,581.50 : x
  2. Step 2: Convert to fraction form
    155,717/240,581.50 = 240,581.50/x
  3. Step 3: Cross multiply
    155,717x = 240,581.50 × 240,581.50
  4. Step 4: Simplify right side
    155,717x = 57,879,458,142.25
  5. Step 5: Solve for x
    x = 57,879,458,142.25/155,717
  6. Step 6: Final answer
    x = 371,696.46

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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.