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Finding the Third Proportional to 156,969 and 234,841

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Solution

The third proportional to 156,969 and 234,841 is: 351,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,969 : 234,841 = 234,841 : x
  2. Step 2: Convert to fraction form
    156,969/234,841 = 234,841/x
  3. Step 3: Cross multiply
    156,969x = 234,841 × 234,841
  4. Step 4: Simplify right side
    156,969x = 55,150,295,281
  5. Step 5: Solve for x
    x = 55,150,295,281/156,969
  6. Step 6: Final answer
    x = 351,345.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.