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Finding the Third Proportional to 175,050 and 271,567

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Solution

The third proportional to 175,050 and 271,567 is: 421,300.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,050 : 271,567 = 271,567 : x
  2. Step 2: Convert to fraction form
    175,050/271,567 = 271,567/x
  3. Step 3: Cross multiply
    175,050x = 271,567 × 271,567
  4. Step 4: Simplify right side
    175,050x = 73,748,635,489
  5. Step 5: Solve for x
    x = 73,748,635,489/175,050
  6. Step 6: Final answer
    x = 421,300.40

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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.