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Finding the Third Proportional to 122,214 and 260,574

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Solution

The third proportional to 122,214 and 260,574 is: 555,573.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,214 : 260,574 = 260,574 : x
  2. Step 2: Convert to fraction form
    122,214/260,574 = 260,574/x
  3. Step 3: Cross multiply
    122,214x = 260,574 × 260,574
  4. Step 4: Simplify right side
    122,214x = 67,898,809,476
  5. Step 5: Solve for x
    x = 67,898,809,476/122,214
  6. Step 6: Final answer
    x = 555,573.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.