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Finding the Third Proportional to 228,150.84 and 357,885.42

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Solution

The third proportional to 228,150.84 and 357,885.42 is: 561,391.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,150.84 : 357,885.42 = 357,885.42 : x
  2. Step 2: Convert to fraction form
    228,150.84/357,885.42 = 357,885.42/x
  3. Step 3: Cross multiply
    228,150.84x = 357,885.42 × 357,885.42
  4. Step 4: Simplify right side
    228,150.84x = 128,081,975,190.65
  5. Step 5: Solve for x
    x = 128,081,975,190.65/228,150.84
  6. Step 6: Final answer
    x = 561,391.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.