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Finding the Third Proportional to 227,836 and 357,918

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Solution

The third proportional to 227,836 and 357,918 is: 562,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,836 : 357,918 = 357,918 : x
  2. Step 2: Convert to fraction form
    227,836/357,918 = 357,918/x
  3. Step 3: Cross multiply
    227,836x = 357,918 × 357,918
  4. Step 4: Simplify right side
    227,836x = 128,105,294,724
  5. Step 5: Solve for x
    x = 128,105,294,724/227,836
  6. Step 6: Final answer
    x = 562,269.77

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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.