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Finding the Third Proportional to 164,277 and 356,437.50

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Solution

The third proportional to 164,277 and 356,437.50 is: 773,374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,277 : 356,437.50 = 356,437.50 : x
  2. Step 2: Convert to fraction form
    164,277/356,437.50 = 356,437.50/x
  3. Step 3: Cross multiply
    164,277x = 356,437.50 × 356,437.50
  4. Step 4: Simplify right side
    164,277x = 127,047,691,406.25
  5. Step 5: Solve for x
    x = 127,047,691,406.25/164,277
  6. Step 6: Final answer
    x = 773,374.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.