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Finding the Third Proportional to 97,328 and 210,192

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Solution

The third proportional to 97,328 and 210,192 is: 453,935.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,328 : 210,192 = 210,192 : x
  2. Step 2: Convert to fraction form
    97,328/210,192 = 210,192/x
  3. Step 3: Cross multiply
    97,328x = 210,192 × 210,192
  4. Step 4: Simplify right side
    97,328x = 44,180,676,864
  5. Step 5: Solve for x
    x = 44,180,676,864/97,328
  6. Step 6: Final answer
    x = 453,935.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.