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Finding the Third Proportional to 233,902.13 and 431,356.50

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Solution

The third proportional to 233,902.13 and 431,356.50 is: 795,496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,902.13 : 431,356.50 = 431,356.50 : x
  2. Step 2: Convert to fraction form
    233,902.13/431,356.50 = 431,356.50/x
  3. Step 3: Cross multiply
    233,902.13x = 431,356.50 × 431,356.50
  4. Step 4: Simplify right side
    233,902.13x = 186,068,430,092.25
  5. Step 5: Solve for x
    x = 186,068,430,092.25/233,902.13
  6. Step 6: Final answer
    x = 795,496.96

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.