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Finding the Third Proportional to 175,444.59 and 266,450.34

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Solution

The third proportional to 175,444.59 and 266,450.34 is: 404,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,444.59 : 266,450.34 = 266,450.34 : x
  2. Step 2: Convert to fraction form
    175,444.59/266,450.34 = 266,450.34/x
  3. Step 3: Cross multiply
    175,444.59x = 266,450.34 × 266,450.34
  4. Step 4: Simplify right side
    175,444.59x = 70,995,785,684.49
  5. Step 5: Solve for x
    x = 70,995,785,684.49/175,444.59
  6. Step 6: Final answer
    x = 404,662.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.