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Finding the Third Proportional to 241,697.67 and 370,269.35

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Solution

The third proportional to 241,697.67 and 370,269.35 is: 567,235.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,697.67 : 370,269.35 = 370,269.35 : x
  2. Step 2: Convert to fraction form
    241,697.67/370,269.35 = 370,269.35/x
  3. Step 3: Cross multiply
    241,697.67x = 370,269.35 × 370,269.35
  4. Step 4: Simplify right side
    241,697.67x = 137,099,392,706.51
  5. Step 5: Solve for x
    x = 137,099,392,706.51/241,697.67
  6. Step 6: Final answer
    x = 567,235.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.