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Finding the Third Proportional to 241,429.50 and 360,868.50

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Solution

The third proportional to 241,429.50 and 360,868.50 is: 539,395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,429.50 : 360,868.50 = 360,868.50 : x
  2. Step 2: Convert to fraction form
    241,429.50/360,868.50 = 360,868.50/x
  3. Step 3: Cross multiply
    241,429.50x = 360,868.50 × 360,868.50
  4. Step 4: Simplify right side
    241,429.50x = 130,226,074,292.25
  5. Step 5: Solve for x
    x = 130,226,074,292.25/241,429.50
  6. Step 6: Final answer
    x = 539,395.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.