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Finding the Third Proportional to 122,646 and 262,784

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Solution

The third proportional to 122,646 and 262,784 is: 563,046.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,646 : 262,784 = 262,784 : x
  2. Step 2: Convert to fraction form
    122,646/262,784 = 262,784/x
  3. Step 3: Cross multiply
    122,646x = 262,784 × 262,784
  4. Step 4: Simplify right side
    122,646x = 69,055,430,656
  5. Step 5: Solve for x
    x = 69,055,430,656/122,646
  6. Step 6: Final answer
    x = 563,046.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.