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Finding the Third Proportional to 110,450 and 238,528

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Solution

The third proportional to 110,450 and 238,528 is: 515,125.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,450 : 238,528 = 238,528 : x
  2. Step 2: Convert to fraction form
    110,450/238,528 = 238,528/x
  3. Step 3: Cross multiply
    110,450x = 238,528 × 238,528
  4. Step 4: Simplify right side
    110,450x = 56,895,606,784
  5. Step 5: Solve for x
    x = 56,895,606,784/110,450
  6. Step 6: Final answer
    x = 515,125.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.