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Finding the Third Proportional to 192,901.50 and 423,153

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Solution

The third proportional to 192,901.50 and 423,153 is: 928,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,901.50 : 423,153 = 423,153 : x
  2. Step 2: Convert to fraction form
    192,901.50/423,153 = 423,153/x
  3. Step 3: Cross multiply
    192,901.50x = 423,153 × 423,153
  4. Step 4: Simplify right side
    192,901.50x = 179,058,461,409
  5. Step 5: Solve for x
    x = 179,058,461,409/192,901.50
  6. Step 6: Final answer
    x = 928,237.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.