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Finding the Third Proportional to 134,895.75 and 291,405.75

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Solution

The third proportional to 134,895.75 and 291,405.75 is: 629,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,895.75 : 291,405.75 = 291,405.75 : x
  2. Step 2: Convert to fraction form
    134,895.75/291,405.75 = 291,405.75/x
  3. Step 3: Cross multiply
    134,895.75x = 291,405.75 × 291,405.75
  4. Step 4: Simplify right side
    134,895.75x = 84,917,311,133.06
  5. Step 5: Solve for x
    x = 84,917,311,133.06/134,895.75
  6. Step 6: Final answer
    x = 629,503.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.