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Finding the Third Proportional to 147,961 and 225,629.50

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Solution

The third proportional to 147,961 and 225,629.50 is: 344,068.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,961 : 225,629.50 = 225,629.50 : x
  2. Step 2: Convert to fraction form
    147,961/225,629.50 = 225,629.50/x
  3. Step 3: Cross multiply
    147,961x = 225,629.50 × 225,629.50
  4. Step 4: Simplify right side
    147,961x = 50,908,671,270.25
  5. Step 5: Solve for x
    x = 50,908,671,270.25/147,961
  6. Step 6: Final answer
    x = 344,068.18

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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.