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Finding the Third Proportional to 173,017 and 375,410

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Solution

The third proportional to 173,017 and 375,410 is: 814,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,017 : 375,410 = 375,410 : x
  2. Step 2: Convert to fraction form
    173,017/375,410 = 375,410/x
  3. Step 3: Cross multiply
    173,017x = 375,410 × 375,410
  4. Step 4: Simplify right side
    173,017x = 140,932,668,100
  5. Step 5: Solve for x
    x = 140,932,668,100/173,017
  6. Step 6: Final answer
    x = 814,559.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.