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Finding the Third Proportional to 141,210 and 216,324

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Solution

The third proportional to 141,210 and 216,324 is: 331,393.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,210 : 216,324 = 216,324 : x
  2. Step 2: Convert to fraction form
    141,210/216,324 = 216,324/x
  3. Step 3: Cross multiply
    141,210x = 216,324 × 216,324
  4. Step 4: Simplify right side
    141,210x = 46,796,072,976
  5. Step 5: Solve for x
    x = 46,796,072,976/141,210
  6. Step 6: Final answer
    x = 331,393.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.