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Finding the Third Proportional to 173,532 and 351,894

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Solution

The third proportional to 173,532 and 351,894 is: 713,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,532 : 351,894 = 351,894 : x
  2. Step 2: Convert to fraction form
    173,532/351,894 = 351,894/x
  3. Step 3: Cross multiply
    173,532x = 351,894 × 351,894
  4. Step 4: Simplify right side
    173,532x = 123,829,387,236
  5. Step 5: Solve for x
    x = 123,829,387,236/173,532
  6. Step 6: Final answer
    x = 713,582.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.