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Finding the Third Proportional to 152,840.44 and 359,627.16

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Solution

The third proportional to 152,840.44 and 359,627.16 is: 846,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,840.44 : 359,627.16 = 359,627.16 : x
  2. Step 2: Convert to fraction form
    152,840.44/359,627.16 = 359,627.16/x
  3. Step 3: Cross multiply
    152,840.44x = 359,627.16 × 359,627.16
  4. Step 4: Simplify right side
    152,840.44x = 129,331,691,512.46
  5. Step 5: Solve for x
    x = 129,331,691,512.46/152,840.44
  6. Step 6: Final answer
    x = 846,187.66

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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.