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Finding the Third Proportional to 152,565.19 and 332,253

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Solution

The third proportional to 152,565.19 and 332,253 is: 723,573.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,565.19 : 332,253 = 332,253 : x
  2. Step 2: Convert to fraction form
    152,565.19/332,253 = 332,253/x
  3. Step 3: Cross multiply
    152,565.19x = 332,253 × 332,253
  4. Step 4: Simplify right side
    152,565.19x = 110,392,056,009
  5. Step 5: Solve for x
    x = 110,392,056,009/152,565.19
  6. Step 6: Final answer
    x = 723,573.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.