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Finding the Third Proportional to 226,101 and 359,907

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Solution

The third proportional to 226,101 and 359,907 is: 572,899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,101 : 359,907 = 359,907 : x
  2. Step 2: Convert to fraction form
    226,101/359,907 = 359,907/x
  3. Step 3: Cross multiply
    226,101x = 359,907 × 359,907
  4. Step 4: Simplify right side
    226,101x = 129,533,048,649
  5. Step 5: Solve for x
    x = 129,533,048,649/226,101
  6. Step 6: Final answer
    x = 572,899.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.