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Finding the Third Proportional to 102,510 and 220,348

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Solution

The third proportional to 102,510 and 220,348 is: 473,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,510 : 220,348 = 220,348 : x
  2. Step 2: Convert to fraction form
    102,510/220,348 = 220,348/x
  3. Step 3: Cross multiply
    102,510x = 220,348 × 220,348
  4. Step 4: Simplify right side
    102,510x = 48,553,241,104
  5. Step 5: Solve for x
    x = 48,553,241,104/102,510
  6. Step 6: Final answer
    x = 473,643.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.