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Finding the Third Proportional to 113,784.50 and 247,628

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Solution

The third proportional to 113,784.50 and 247,628 is: 538,910.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,784.50 : 247,628 = 247,628 : x
  2. Step 2: Convert to fraction form
    113,784.50/247,628 = 247,628/x
  3. Step 3: Cross multiply
    113,784.50x = 247,628 × 247,628
  4. Step 4: Simplify right side
    113,784.50x = 61,319,626,384
  5. Step 5: Solve for x
    x = 61,319,626,384/113,784.50
  6. Step 6: Final answer
    x = 538,910.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.