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Finding the Third Proportional to 194,730 and 425,505

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Solution

The third proportional to 194,730 and 425,505 is: 929,772.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,730 : 425,505 = 425,505 : x
  2. Step 2: Convert to fraction form
    194,730/425,505 = 425,505/x
  3. Step 3: Cross multiply
    194,730x = 425,505 × 425,505
  4. Step 4: Simplify right side
    194,730x = 181,054,505,025
  5. Step 5: Solve for x
    x = 181,054,505,025/194,730
  6. Step 6: Final answer
    x = 929,772.02

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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.