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Finding the Third Proportional to 194,456 and 425,011

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Solution

The third proportional to 194,456 and 425,011 is: 928,921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,456 : 425,011 = 425,011 : x
  2. Step 2: Convert to fraction form
    194,456/425,011 = 425,011/x
  3. Step 3: Cross multiply
    194,456x = 425,011 × 425,011
  4. Step 4: Simplify right side
    194,456x = 180,634,350,121
  5. Step 5: Solve for x
    x = 180,634,350,121/194,456
  6. Step 6: Final answer
    x = 928,921.45

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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.