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Finding the Third Proportional to 134,625 and 295,362

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Solution

The third proportional to 134,625 and 295,362 is: 648,012.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,625 : 295,362 = 295,362 : x
  2. Step 2: Convert to fraction form
    134,625/295,362 = 295,362/x
  3. Step 3: Cross multiply
    134,625x = 295,362 × 295,362
  4. Step 4: Simplify right side
    134,625x = 87,238,711,044
  5. Step 5: Solve for x
    x = 87,238,711,044/134,625
  6. Step 6: Final answer
    x = 648,012.71

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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.