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Finding the Third Proportional to 180,847.69 and 409,060.13

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Solution

The third proportional to 180,847.69 and 409,060.13 is: 925,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,847.69 : 409,060.13 = 409,060.13 : x
  2. Step 2: Convert to fraction form
    180,847.69/409,060.13 = 409,060.13/x
  3. Step 3: Cross multiply
    180,847.69x = 409,060.13 × 409,060.13
  4. Step 4: Simplify right side
    180,847.69x = 167,330,185,865.02
  5. Step 5: Solve for x
    x = 167,330,185,865.02/180,847.69
  6. Step 6: Final answer
    x = 925,254.77

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.