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Finding the Third Proportional to 194,283 and 418,089.94

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Solution

The third proportional to 194,283 and 418,089.94 is: 899,714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,283 : 418,089.94 = 418,089.94 : x
  2. Step 2: Convert to fraction form
    194,283/418,089.94 = 418,089.94/x
  3. Step 3: Cross multiply
    194,283x = 418,089.94 × 418,089.94
  4. Step 4: Simplify right side
    194,283x = 174,799,195,838.75
  5. Step 5: Solve for x
    x = 174,799,195,838.75/194,283
  6. Step 6: Final answer
    x = 899,714.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.