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Finding the Third Proportional to 155,868.47 and 251,015.63

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Solution

The third proportional to 155,868.47 and 251,015.63 is: 404,243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,868.47 : 251,015.63 = 251,015.63 : x
  2. Step 2: Convert to fraction form
    155,868.47/251,015.63 = 251,015.63/x
  3. Step 3: Cross multiply
    155,868.47x = 251,015.63 × 251,015.63
  4. Step 4: Simplify right side
    155,868.47x = 63,008,843,994.14
  5. Step 5: Solve for x
    x = 63,008,843,994.14/155,868.47
  6. Step 6: Final answer
    x = 404,243.68

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.