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Finding the Third Proportional to 190,437 and 279,762

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Solution

The third proportional to 190,437 and 279,762 is: 410,985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,437 : 279,762 = 279,762 : x
  2. Step 2: Convert to fraction form
    190,437/279,762 = 279,762/x
  3. Step 3: Cross multiply
    190,437x = 279,762 × 279,762
  4. Step 4: Simplify right side
    190,437x = 78,266,776,644
  5. Step 5: Solve for x
    x = 78,266,776,644/190,437
  6. Step 6: Final answer
    x = 410,985.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.