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Finding the Third Proportional to 167,050 and 241,359

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Solution

The third proportional to 167,050 and 241,359 is: 348,722.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,050 : 241,359 = 241,359 : x
  2. Step 2: Convert to fraction form
    167,050/241,359 = 241,359/x
  3. Step 3: Cross multiply
    167,050x = 241,359 × 241,359
  4. Step 4: Simplify right side
    167,050x = 58,254,166,881
  5. Step 5: Solve for x
    x = 58,254,166,881/167,050
  6. Step 6: Final answer
    x = 348,722.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.