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Finding the Third Proportional to 266,334.75 and 358,836.75

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Solution

The third proportional to 266,334.75 and 358,836.75 is: 483,466.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,334.75 : 358,836.75 = 358,836.75 : x
  2. Step 2: Convert to fraction form
    266,334.75/358,836.75 = 358,836.75/x
  3. Step 3: Cross multiply
    266,334.75x = 358,836.75 × 358,836.75
  4. Step 4: Simplify right side
    266,334.75x = 128,763,813,150.56
  5. Step 5: Solve for x
    x = 128,763,813,150.56/266,334.75
  6. Step 6: Final answer
    x = 483,466.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.