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Finding the Third Proportional to 226,064 and 307,862

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Solution

The third proportional to 226,064 and 307,862 is: 419,257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,064 : 307,862 = 307,862 : x
  2. Step 2: Convert to fraction form
    226,064/307,862 = 307,862/x
  3. Step 3: Cross multiply
    226,064x = 307,862 × 307,862
  4. Step 4: Simplify right side
    226,064x = 94,779,011,044
  5. Step 5: Solve for x
    x = 94,779,011,044/226,064
  6. Step 6: Final answer
    x = 419,257.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.