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Finding the Third Proportional to 155,533.50 and 230,018.25

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Solution

The third proportional to 155,533.50 and 230,018.25 is: 340,173.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,533.50 : 230,018.25 = 230,018.25 : x
  2. Step 2: Convert to fraction form
    155,533.50/230,018.25 = 230,018.25/x
  3. Step 3: Cross multiply
    155,533.50x = 230,018.25 × 230,018.25
  4. Step 4: Simplify right side
    155,533.50x = 52,908,395,333.06
  5. Step 5: Solve for x
    x = 52,908,395,333.06/155,533.50
  6. Step 6: Final answer
    x = 340,173.63

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.