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Finding the Third Proportional to 167,088 and 241,416

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Solution

The third proportional to 167,088 and 241,416 is: 348,808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,088 : 241,416 = 241,416 : x
  2. Step 2: Convert to fraction form
    167,088/241,416 = 241,416/x
  3. Step 3: Cross multiply
    167,088x = 241,416 × 241,416
  4. Step 4: Simplify right side
    167,088x = 58,281,685,056
  5. Step 5: Solve for x
    x = 58,281,685,056/167,088
  6. Step 6: Final answer
    x = 348,808.32

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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.