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Finding the Third Proportional to 141,214 and 216,330

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Solution

The third proportional to 141,214 and 216,330 is: 331,402.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,214 : 216,330 = 216,330 : x
  2. Step 2: Convert to fraction form
    141,214/216,330 = 216,330/x
  3. Step 3: Cross multiply
    141,214x = 216,330 × 216,330
  4. Step 4: Simplify right side
    141,214x = 46,798,668,900
  5. Step 5: Solve for x
    x = 46,798,668,900/141,214
  6. Step 6: Final answer
    x = 331,402.47

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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.