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Finding the Third Proportional to 214,084 and 329,178

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Solution

The third proportional to 214,084 and 329,178 is: 506,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,084 : 329,178 = 329,178 : x
  2. Step 2: Convert to fraction form
    214,084/329,178 = 329,178/x
  3. Step 3: Cross multiply
    214,084x = 329,178 × 329,178
  4. Step 4: Simplify right side
    214,084x = 108,358,155,684
  5. Step 5: Solve for x
    x = 108,358,155,684/214,084
  6. Step 6: Final answer
    x = 506,147.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.