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Finding the Third Proportional to 156,434.63 and 234,657

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Solution

The third proportional to 156,434.63 and 234,657 is: 351,993.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,434.63 : 234,657 = 234,657 : x
  2. Step 2: Convert to fraction form
    156,434.63/234,657 = 234,657/x
  3. Step 3: Cross multiply
    156,434.63x = 234,657 × 234,657
  4. Step 4: Simplify right side
    156,434.63x = 55,063,907,649
  5. Step 5: Solve for x
    x = 55,063,907,649/156,434.63
  6. Step 6: Final answer
    x = 351,993.09

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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.