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Finding the Third Proportional to 84,652 and 174,424

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Solution

The third proportional to 84,652 and 174,424 is: 359,397.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,652 : 174,424 = 174,424 : x
  2. Step 2: Convert to fraction form
    84,652/174,424 = 174,424/x
  3. Step 3: Cross multiply
    84,652x = 174,424 × 174,424
  4. Step 4: Simplify right side
    84,652x = 30,423,731,776
  5. Step 5: Solve for x
    x = 30,423,731,776/84,652
  6. Step 6: Final answer
    x = 359,397.67

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.