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Finding the Third Proportional to 156,971 and 340,014

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Solution

The third proportional to 156,971 and 340,014 is: 736,502.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,971 : 340,014 = 340,014 : x
  2. Step 2: Convert to fraction form
    156,971/340,014 = 340,014/x
  3. Step 3: Cross multiply
    156,971x = 340,014 × 340,014
  4. Step 4: Simplify right side
    156,971x = 115,609,520,196
  5. Step 5: Solve for x
    x = 115,609,520,196/156,971
  6. Step 6: Final answer
    x = 736,502.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.