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Finding the Third Proportional to 233,902.13 and 307,135.13

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Solution

The third proportional to 233,902.13 and 307,135.13 is: 403,296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,902.13 : 307,135.13 = 307,135.13 : x
  2. Step 2: Convert to fraction form
    233,902.13/307,135.13 = 307,135.13/x
  3. Step 3: Cross multiply
    233,902.13x = 307,135.13 × 307,135.13
  4. Step 4: Simplify right side
    233,902.13x = 94,331,985,008.77
  5. Step 5: Solve for x
    x = 94,331,985,008.77/233,902.13
  6. Step 6: Final answer
    x = 403,296.83

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.