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Finding the Third Proportional to 134,977.50 and 295,379

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Solution

The third proportional to 134,977.50 and 295,379 is: 646,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,977.50 : 295,379 = 295,379 : x
  2. Step 2: Convert to fraction form
    134,977.50/295,379 = 295,379/x
  3. Step 3: Cross multiply
    134,977.50x = 295,379 × 295,379
  4. Step 4: Simplify right side
    134,977.50x = 87,248,753,641
  5. Step 5: Solve for x
    x = 87,248,753,641/134,977.50
  6. Step 6: Final answer
    x = 646,394.80

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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.