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Finding the Third Proportional to 122,304 and 184,688

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Solution

The third proportional to 122,304 and 184,688 is: 278,892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,304 : 184,688 = 184,688 : x
  2. Step 2: Convert to fraction form
    122,304/184,688 = 184,688/x
  3. Step 3: Cross multiply
    122,304x = 184,688 × 184,688
  4. Step 4: Simplify right side
    122,304x = 34,109,657,344
  5. Step 5: Solve for x
    x = 34,109,657,344/122,304
  6. Step 6: Final answer
    x = 278,892.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.