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Finding the Third Proportional to 164,218 and 247,056

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Solution

The third proportional to 164,218 and 247,056 is: 371,680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,218 : 247,056 = 247,056 : x
  2. Step 2: Convert to fraction form
    164,218/247,056 = 247,056/x
  3. Step 3: Cross multiply
    164,218x = 247,056 × 247,056
  4. Step 4: Simplify right side
    164,218x = 61,036,667,136
  5. Step 5: Solve for x
    x = 61,036,667,136/164,218
  6. Step 6: Final answer
    x = 371,680.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.