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Finding the Third Proportional to 175,546 and 342,335

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Solution

The third proportional to 175,546 and 342,335 is: 667,592.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,546 : 342,335 = 342,335 : x
  2. Step 2: Convert to fraction form
    175,546/342,335 = 342,335/x
  3. Step 3: Cross multiply
    175,546x = 342,335 × 342,335
  4. Step 4: Simplify right side
    175,546x = 117,193,252,225
  5. Step 5: Solve for x
    x = 117,193,252,225/175,546
  6. Step 6: Final answer
    x = 667,592.84

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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.