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Finding the Third Proportional to 227,610 and 357,003

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Solution

The third proportional to 227,610 and 357,003 is: 559,954.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,610 : 357,003 = 357,003 : x
  2. Step 2: Convert to fraction form
    227,610/357,003 = 357,003/x
  3. Step 3: Cross multiply
    227,610x = 357,003 × 357,003
  4. Step 4: Simplify right side
    227,610x = 127,451,142,009
  5. Step 5: Solve for x
    x = 127,451,142,009/227,610
  6. Step 6: Final answer
    x = 559,954.05

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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.