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Finding the Third Proportional to 174,530 and 265,035

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Solution

The third proportional to 174,530 and 265,035 is: 402,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,530 : 265,035 = 265,035 : x
  2. Step 2: Convert to fraction form
    174,530/265,035 = 265,035/x
  3. Step 3: Cross multiply
    174,530x = 265,035 × 265,035
  4. Step 4: Simplify right side
    174,530x = 70,243,551,225
  5. Step 5: Solve for x
    x = 70,243,551,225/174,530
  6. Step 6: Final answer
    x = 402,472.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.