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Finding the Third Proportional to 134,373 and 203,298

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Solution

The third proportional to 134,373 and 203,298 is: 307,577.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,373 : 203,298 = 203,298 : x
  2. Step 2: Convert to fraction form
    134,373/203,298 = 203,298/x
  3. Step 3: Cross multiply
    134,373x = 203,298 × 203,298
  4. Step 4: Simplify right side
    134,373x = 41,330,076,804
  5. Step 5: Solve for x
    x = 41,330,076,804/134,373
  6. Step 6: Final answer
    x = 307,577.24

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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.