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Finding the Third Proportional to 174,984 and 271,464

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Solution

The third proportional to 174,984 and 271,464 is: 421,139.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,984 : 271,464 = 271,464 : x
  2. Step 2: Convert to fraction form
    174,984/271,464 = 271,464/x
  3. Step 3: Cross multiply
    174,984x = 271,464 × 271,464
  4. Step 4: Simplify right side
    174,984x = 73,692,703,296
  5. Step 5: Solve for x
    x = 73,692,703,296/174,984
  6. Step 6: Final answer
    x = 421,139.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.