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Finding the Third Proportional to 269,214.89 and 416,803.22

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Solution

The third proportional to 269,214.89 and 416,803.22 is: 645,302.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,214.89 : 416,803.22 = 416,803.22 : x
  2. Step 2: Convert to fraction form
    269,214.89/416,803.22 = 416,803.22/x
  3. Step 3: Cross multiply
    269,214.89x = 416,803.22 × 416,803.22
  4. Step 4: Simplify right side
    269,214.89x = 173,724,923,160.36
  5. Step 5: Solve for x
    x = 173,724,923,160.36/269,214.89
  6. Step 6: Final answer
    x = 645,302.06

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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.