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Finding the Third Proportional to 193,054 and 425,402

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Solution

The third proportional to 193,054 and 425,402 is: 937,389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,054 : 425,402 = 425,402 : x
  2. Step 2: Convert to fraction form
    193,054/425,402 = 425,402/x
  3. Step 3: Cross multiply
    193,054x = 425,402 × 425,402
  4. Step 4: Simplify right side
    193,054x = 180,966,861,604
  5. Step 5: Solve for x
    x = 180,966,861,604/193,054
  6. Step 6: Final answer
    x = 937,389.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.