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Finding the Third Proportional to 193,158 and 423,657

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Solution

The third proportional to 193,158 and 423,657 is: 929,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,158 : 423,657 = 423,657 : x
  2. Step 2: Convert to fraction form
    193,158/423,657 = 423,657/x
  3. Step 3: Cross multiply
    193,158x = 423,657 × 423,657
  4. Step 4: Simplify right side
    193,158x = 179,485,253,649
  5. Step 5: Solve for x
    x = 179,485,253,649/193,158
  6. Step 6: Final answer
    x = 929,214.70

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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.