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Finding the Third Proportional to 263,287.13 and 376,227.56

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Solution

The third proportional to 263,287.13 and 376,227.56 is: 537,615.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,287.13 : 376,227.56 = 376,227.56 : x
  2. Step 2: Convert to fraction form
    263,287.13/376,227.56 = 376,227.56/x
  3. Step 3: Cross multiply
    263,287.13x = 376,227.56 × 376,227.56
  4. Step 4: Simplify right side
    263,287.13x = 141,547,178,784.69
  5. Step 5: Solve for x
    x = 141,547,178,784.69/263,287.13
  6. Step 6: Final answer
    x = 537,615.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.