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Finding the Third Proportional to 152,840.81 and 359,628.19

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Solution

The third proportional to 152,840.81 and 359,628.19 is: 846,190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,840.81 : 359,628.19 = 359,628.19 : x
  2. Step 2: Convert to fraction form
    152,840.81/359,628.19 = 359,628.19/x
  3. Step 3: Cross multiply
    152,840.81x = 359,628.19 × 359,628.19
  4. Step 4: Simplify right side
    152,840.81x = 129,332,433,244.54
  5. Step 5: Solve for x
    x = 129,332,433,244.54/152,840.81
  6. Step 6: Final answer
    x = 846,190.43

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.