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Finding the Third Proportional to 193,857 and 289,623

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Solution

The third proportional to 193,857 and 289,623 is: 432,697.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,857 : 289,623 = 289,623 : x
  2. Step 2: Convert to fraction form
    193,857/289,623 = 289,623/x
  3. Step 3: Cross multiply
    193,857x = 289,623 × 289,623
  4. Step 4: Simplify right side
    193,857x = 83,881,482,129
  5. Step 5: Solve for x
    x = 83,881,482,129/193,857
  6. Step 6: Final answer
    x = 432,697.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.