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Finding the Third Proportional to 194,148 and 425,691

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Solution

The third proportional to 194,148 and 425,691 is: 933,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,148 : 425,691 = 425,691 : x
  2. Step 2: Convert to fraction form
    194,148/425,691 = 425,691/x
  3. Step 3: Cross multiply
    194,148x = 425,691 × 425,691
  4. Step 4: Simplify right side
    194,148x = 181,212,827,481
  5. Step 5: Solve for x
    x = 181,212,827,481/194,148
  6. Step 6: Final answer
    x = 933,374.68

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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.