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Finding the Third Proportional to 238,826.25 and 348,394.50

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Solution

The third proportional to 238,826.25 and 348,394.50 is: 508,230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,826.25 : 348,394.50 = 348,394.50 : x
  2. Step 2: Convert to fraction form
    238,826.25/348,394.50 = 348,394.50/x
  3. Step 3: Cross multiply
    238,826.25x = 348,394.50 × 348,394.50
  4. Step 4: Simplify right side
    238,826.25x = 121,378,727,630.25
  5. Step 5: Solve for x
    x = 121,378,727,630.25/238,826.25
  6. Step 6: Final answer
    x = 508,230.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.