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Finding the Third Proportional to 225,720 and 357,116

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Solution

The third proportional to 225,720 and 357,116 is: 565,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,720 : 357,116 = 357,116 : x
  2. Step 2: Convert to fraction form
    225,720/357,116 = 357,116/x
  3. Step 3: Cross multiply
    225,720x = 357,116 × 357,116
  4. Step 4: Simplify right side
    225,720x = 127,531,837,456
  5. Step 5: Solve for x
    x = 127,531,837,456/225,720
  6. Step 6: Final answer
    x = 565,000.17

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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.