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Finding the Third Proportional to 134,525.81 and 285,454.13

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Solution

The third proportional to 134,525.81 and 285,454.13 is: 605,713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,525.81 : 285,454.13 = 285,454.13 : x
  2. Step 2: Convert to fraction form
    134,525.81/285,454.13 = 285,454.13/x
  3. Step 3: Cross multiply
    134,525.81x = 285,454.13 × 285,454.13
  4. Step 4: Simplify right side
    134,525.81x = 81,484,057,479.52
  5. Step 5: Solve for x
    x = 81,484,057,479.52/134,525.81
  6. Step 6: Final answer
    x = 605,713.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.