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Finding the Third Proportional to 160,471.13 and 248,224.50

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Solution

The third proportional to 160,471.13 and 248,224.50 is: 383,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,471.13 : 248,224.50 = 248,224.50 : x
  2. Step 2: Convert to fraction form
    160,471.13/248,224.50 = 248,224.50/x
  3. Step 3: Cross multiply
    160,471.13x = 248,224.50 × 248,224.50
  4. Step 4: Simplify right side
    160,471.13x = 61,615,402,400.25
  5. Step 5: Solve for x
    x = 61,615,402,400.25/160,471.13
  6. Step 6: Final answer
    x = 383,965.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.