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Finding the Third Proportional to 194,785 and 304,486.50

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Solution

The third proportional to 194,785 and 304,486.50 is: 475,971.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,785 : 304,486.50 = 304,486.50 : x
  2. Step 2: Convert to fraction form
    194,785/304,486.50 = 304,486.50/x
  3. Step 3: Cross multiply
    194,785x = 304,486.50 × 304,486.50
  4. Step 4: Simplify right side
    194,785x = 92,712,028,682.25
  5. Step 5: Solve for x
    x = 92,712,028,682.25/194,785
  6. Step 6: Final answer
    x = 475,971.09

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.