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Finding the Third Proportional to 175,312 and 271,548

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Solution

The third proportional to 175,312 and 271,548 is: 420,611.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,312 : 271,548 = 271,548 : x
  2. Step 2: Convert to fraction form
    175,312/271,548 = 271,548/x
  3. Step 3: Cross multiply
    175,312x = 271,548 × 271,548
  4. Step 4: Simplify right side
    175,312x = 73,738,316,304
  5. Step 5: Solve for x
    x = 73,738,316,304/175,312
  6. Step 6: Final answer
    x = 420,611.92

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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.