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Finding the Third Proportional to 164,215 and 247,496

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Solution

The third proportional to 164,215 and 247,496 is: 373,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,215 : 247,496 = 247,496 : x
  2. Step 2: Convert to fraction form
    164,215/247,496 = 247,496/x
  3. Step 3: Cross multiply
    164,215x = 247,496 × 247,496
  4. Step 4: Simplify right side
    164,215x = 61,254,270,016
  5. Step 5: Solve for x
    x = 61,254,270,016/164,215
  6. Step 6: Final answer
    x = 373,012.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.