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Finding the Third Proportional to 216,164 and 345,328

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Solution

The third proportional to 216,164 and 345,328 is: 551,671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,164 : 345,328 = 345,328 : x
  2. Step 2: Convert to fraction form
    216,164/345,328 = 345,328/x
  3. Step 3: Cross multiply
    216,164x = 345,328 × 345,328
  4. Step 4: Simplify right side
    216,164x = 119,251,427,584
  5. Step 5: Solve for x
    x = 119,251,427,584/216,164
  6. Step 6: Final answer
    x = 551,671.08

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.