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Finding the Third Proportional to 227,338 and 355,842

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Solution

The third proportional to 227,338 and 355,842 is: 556,983.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,338 : 355,842 = 355,842 : x
  2. Step 2: Convert to fraction form
    227,338/355,842 = 355,842/x
  3. Step 3: Cross multiply
    227,338x = 355,842 × 355,842
  4. Step 4: Simplify right side
    227,338x = 126,623,528,964
  5. Step 5: Solve for x
    x = 126,623,528,964/227,338
  6. Step 6: Final answer
    x = 556,983.56

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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.