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Finding the Third Proportional to 122,700 and 260,232

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Solution

The third proportional to 122,700 and 260,232 is: 551,920.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,700 : 260,232 = 260,232 : x
  2. Step 2: Convert to fraction form
    122,700/260,232 = 260,232/x
  3. Step 3: Cross multiply
    122,700x = 260,232 × 260,232
  4. Step 4: Simplify right side
    122,700x = 67,720,693,824
  5. Step 5: Solve for x
    x = 67,720,693,824/122,700
  6. Step 6: Final answer
    x = 551,920.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.