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Finding the Third Proportional to 238,295.25 and 351,898.88

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Solution

The third proportional to 238,295.25 and 351,898.88 is: 519,661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,295.25 : 351,898.88 = 351,898.88 : x
  2. Step 2: Convert to fraction form
    238,295.25/351,898.88 = 351,898.88/x
  3. Step 3: Cross multiply
    238,295.25x = 351,898.88 × 351,898.88
  4. Step 4: Simplify right side
    238,295.25x = 123,832,818,226.27
  5. Step 5: Solve for x
    x = 123,832,818,226.27/238,295.25
  6. Step 6: Final answer
    x = 519,661.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.