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Finding the Third Proportional to 122,056 and 262,840

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Solution

The third proportional to 122,056 and 262,840 is: 566,009.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,056 : 262,840 = 262,840 : x
  2. Step 2: Convert to fraction form
    122,056/262,840 = 262,840/x
  3. Step 3: Cross multiply
    122,056x = 262,840 × 262,840
  4. Step 4: Simplify right side
    122,056x = 69,084,865,600
  5. Step 5: Solve for x
    x = 69,084,865,600/122,056
  6. Step 6: Final answer
    x = 566,009.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.