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Finding the Third Proportional to 134,974 and 295,295

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Solution

The third proportional to 134,974 and 295,295 is: 646,043.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,974 : 295,295 = 295,295 : x
  2. Step 2: Convert to fraction form
    134,974/295,295 = 295,295/x
  3. Step 3: Cross multiply
    134,974x = 295,295 × 295,295
  4. Step 4: Simplify right side
    134,974x = 87,199,137,025
  5. Step 5: Solve for x
    x = 87,199,137,025/134,974
  6. Step 6: Final answer
    x = 646,043.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.