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Finding the Third Proportional to 235,984 and 361,158

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Solution

The third proportional to 235,984 and 361,158 is: 552,728.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,984 : 361,158 = 361,158 : x
  2. Step 2: Convert to fraction form
    235,984/361,158 = 361,158/x
  3. Step 3: Cross multiply
    235,984x = 361,158 × 361,158
  4. Step 4: Simplify right side
    235,984x = 130,435,100,964
  5. Step 5: Solve for x
    x = 130,435,100,964/235,984
  6. Step 6: Final answer
    x = 552,728.58

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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.