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Finding the Third Proportional to 156,971 and 343,083

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Solution

The third proportional to 156,971 and 343,083 is: 749,857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,971 : 343,083 = 343,083 : x
  2. Step 2: Convert to fraction form
    156,971/343,083 = 343,083/x
  3. Step 3: Cross multiply
    156,971x = 343,083 × 343,083
  4. Step 4: Simplify right side
    156,971x = 117,705,944,889
  5. Step 5: Solve for x
    x = 117,705,944,889/156,971
  6. Step 6: Final answer
    x = 749,857.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.