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Finding the Third Proportional to 96,178 and 210,446

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Solution

The third proportional to 96,178 and 210,446 is: 460,474.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,178 : 210,446 = 210,446 : x
  2. Step 2: Convert to fraction form
    96,178/210,446 = 210,446/x
  3. Step 3: Cross multiply
    96,178x = 210,446 × 210,446
  4. Step 4: Simplify right side
    96,178x = 44,287,518,916
  5. Step 5: Solve for x
    x = 44,287,518,916/96,178
  6. Step 6: Final answer
    x = 460,474.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.