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Finding the Third Proportional to 164,743.88 and 247,100.63

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Solution

The third proportional to 164,743.88 and 247,100.63 is: 370,628.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,743.88 : 247,100.63 = 247,100.63 : x
  2. Step 2: Convert to fraction form
    164,743.88/247,100.63 = 247,100.63/x
  3. Step 3: Cross multiply
    164,743.88x = 247,100.63 × 247,100.63
  4. Step 4: Simplify right side
    164,743.88x = 61,058,718,875.39
  5. Step 5: Solve for x
    x = 61,058,718,875.39/164,743.88
  6. Step 6: Final answer
    x = 370,628.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.