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Finding the Third Proportional to 156,970 and 234,838

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Solution

The third proportional to 156,970 and 234,838 is: 351,333.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,970 : 234,838 = 234,838 : x
  2. Step 2: Convert to fraction form
    156,970/234,838 = 234,838/x
  3. Step 3: Cross multiply
    156,970x = 234,838 × 234,838
  4. Step 4: Simplify right side
    156,970x = 55,148,886,244
  5. Step 5: Solve for x
    x = 55,148,886,244/156,970
  6. Step 6: Final answer
    x = 351,333.93

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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.