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Finding the Third Proportional to 113,528 and 268,576

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Solution

The third proportional to 113,528 and 268,576 is: 635,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,528 : 268,576 = 268,576 : x
  2. Step 2: Convert to fraction form
    113,528/268,576 = 268,576/x
  3. Step 3: Cross multiply
    113,528x = 268,576 × 268,576
  4. Step 4: Simplify right side
    113,528x = 72,133,067,776
  5. Step 5: Solve for x
    x = 72,133,067,776/113,528
  6. Step 6: Final answer
    x = 635,376.89

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.