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Finding the Third Proportional to 114,741.75 and 245,271.75

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Solution

The third proportional to 114,741.75 and 245,271.75 is: 524,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,741.75 : 245,271.75 = 245,271.75 : x
  2. Step 2: Convert to fraction form
    114,741.75/245,271.75 = 245,271.75/x
  3. Step 3: Cross multiply
    114,741.75x = 245,271.75 × 245,271.75
  4. Step 4: Simplify right side
    114,741.75x = 60,158,231,348.06
  5. Step 5: Solve for x
    x = 60,158,231,348.06/114,741.75
  6. Step 6: Final answer
    x = 524,292.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.