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Finding the Third Proportional to 213,650 and 335,141

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Solution

The third proportional to 213,650 and 335,141 is: 525,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,650 : 335,141 = 335,141 : x
  2. Step 2: Convert to fraction form
    213,650/335,141 = 335,141/x
  3. Step 3: Cross multiply
    213,650x = 335,141 × 335,141
  4. Step 4: Simplify right side
    213,650x = 112,319,489,881
  5. Step 5: Solve for x
    x = 112,319,489,881/213,650
  6. Step 6: Final answer
    x = 525,717.25

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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.