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Finding the Third Proportional to 214,064 and 329,148

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Solution

The third proportional to 214,064 and 329,148 is: 506,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,064 : 329,148 = 329,148 : x
  2. Step 2: Convert to fraction form
    214,064/329,148 = 329,148/x
  3. Step 3: Cross multiply
    214,064x = 329,148 × 329,148
  4. Step 4: Simplify right side
    214,064x = 108,338,405,904
  5. Step 5: Solve for x
    x = 108,338,405,904/214,064
  6. Step 6: Final answer
    x = 506,102.88

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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.