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Finding the Third Proportional to 194,726 and 425,497

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Solution

The third proportional to 194,726 and 425,497 is: 929,756.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,726 : 425,497 = 425,497 : x
  2. Step 2: Convert to fraction form
    194,726/425,497 = 425,497/x
  3. Step 3: Cross multiply
    194,726x = 425,497 × 425,497
  4. Step 4: Simplify right side
    194,726x = 181,047,697,009
  5. Step 5: Solve for x
    x = 181,047,697,009/194,726
  6. Step 6: Final answer
    x = 929,756.15

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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.