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Finding the Third Proportional to 175,522 and 342,292

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Solution

The third proportional to 175,522 and 342,292 is: 667,516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,522 : 342,292 = 342,292 : x
  2. Step 2: Convert to fraction form
    175,522/342,292 = 342,292/x
  3. Step 3: Cross multiply
    175,522x = 342,292 × 342,292
  4. Step 4: Simplify right side
    175,522x = 117,163,813,264
  5. Step 5: Solve for x
    x = 117,163,813,264/175,522
  6. Step 6: Final answer
    x = 667,516.40

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.