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Finding the Third Proportional to 156,985 and 339,119

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Solution

The third proportional to 156,985 and 339,119 is: 732,564.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,985 : 339,119 = 339,119 : x
  2. Step 2: Convert to fraction form
    156,985/339,119 = 339,119/x
  3. Step 3: Cross multiply
    156,985x = 339,119 × 339,119
  4. Step 4: Simplify right side
    156,985x = 115,001,696,161
  5. Step 5: Solve for x
    x = 115,001,696,161/156,985
  6. Step 6: Final answer
    x = 732,564.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.