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Finding the Third Proportional to 233,214.75 and 431,388

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Solution

The third proportional to 233,214.75 and 431,388 is: 797,958.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,214.75 : 431,388 = 431,388 : x
  2. Step 2: Convert to fraction form
    233,214.75/431,388 = 431,388/x
  3. Step 3: Cross multiply
    233,214.75x = 431,388 × 431,388
  4. Step 4: Simplify right side
    233,214.75x = 186,095,606,544
  5. Step 5: Solve for x
    x = 186,095,606,544/233,214.75
  6. Step 6: Final answer
    x = 797,958.13

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.