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Finding the Third Proportional to 175,506.75 and 269,821.13

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Solution

The third proportional to 175,506.75 and 269,821.13 is: 414,818.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,506.75 : 269,821.13 = 269,821.13 : x
  2. Step 2: Convert to fraction form
    175,506.75/269,821.13 = 269,821.13/x
  3. Step 3: Cross multiply
    175,506.75x = 269,821.13 × 269,821.13
  4. Step 4: Simplify right side
    175,506.75x = 72,803,439,496.27
  5. Step 5: Solve for x
    x = 72,803,439,496.27/175,506.75
  6. Step 6: Final answer
    x = 414,818.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.