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Finding the Third Proportional to 194,076 and 308,614

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Solution

The third proportional to 194,076 and 308,614 is: 490,748.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,076 : 308,614 = 308,614 : x
  2. Step 2: Convert to fraction form
    194,076/308,614 = 308,614/x
  3. Step 3: Cross multiply
    194,076x = 308,614 × 308,614
  4. Step 4: Simplify right side
    194,076x = 95,242,600,996
  5. Step 5: Solve for x
    x = 95,242,600,996/194,076
  6. Step 6: Final answer
    x = 490,748.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.