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Finding the Third Proportional to 133,044 and 285,774

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Solution

The third proportional to 133,044 and 285,774 is: 613,832.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,044 : 285,774 = 285,774 : x
  2. Step 2: Convert to fraction form
    133,044/285,774 = 285,774/x
  3. Step 3: Cross multiply
    133,044x = 285,774 × 285,774
  4. Step 4: Simplify right side
    133,044x = 81,666,779,076
  5. Step 5: Solve for x
    x = 81,666,779,076/133,044
  6. Step 6: Final answer
    x = 613,832.86

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Why These Related Problems?

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