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Finding the Third Proportional to 225,722 and 357,119

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Solution

The third proportional to 225,722 and 357,119 is: 565,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,722 : 357,119 = 357,119 : x
  2. Step 2: Convert to fraction form
    225,722/357,119 = 357,119/x
  3. Step 3: Cross multiply
    225,722x = 357,119 × 357,119
  4. Step 4: Simplify right side
    225,722x = 127,533,980,161
  5. Step 5: Solve for x
    x = 127,533,980,161/225,722
  6. Step 6: Final answer
    x = 565,004.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.