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Finding the Third Proportional to 194,733 and 425,511

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Solution

The third proportional to 194,733 and 425,511 is: 929,783.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,733 : 425,511 = 425,511 : x
  2. Step 2: Convert to fraction form
    194,733/425,511 = 425,511/x
  3. Step 3: Cross multiply
    194,733x = 425,511 × 425,511
  4. Step 4: Simplify right side
    194,733x = 181,059,611,121
  5. Step 5: Solve for x
    x = 181,059,611,121/194,733
  6. Step 6: Final answer
    x = 929,783.92

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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.