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Finding the Third Proportional to 269,214.94 and 416,803.88

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Solution

The third proportional to 269,214.94 and 416,803.88 is: 645,303.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,214.94 : 416,803.88 = 416,803.88 : x
  2. Step 2: Convert to fraction form
    269,214.94/416,803.88 = 416,803.88/x
  3. Step 3: Cross multiply
    269,214.94x = 416,803.88 × 416,803.88
  4. Step 4: Simplify right side
    269,214.94x = 173,725,470,215.02
  5. Step 5: Solve for x
    x = 173,725,470,215.02/269,214.94
  6. Step 6: Final answer
    x = 645,303.98

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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.