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Finding the Third Proportional to 173,024 and 375,424

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Solution

The third proportional to 173,024 and 375,424 is: 814,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,024 : 375,424 = 375,424 : x
  2. Step 2: Convert to fraction form
    173,024/375,424 = 375,424/x
  3. Step 3: Cross multiply
    173,024x = 375,424 × 375,424
  4. Step 4: Simplify right side
    173,024x = 140,943,179,776
  5. Step 5: Solve for x
    x = 140,943,179,776/173,024
  6. Step 6: Final answer
    x = 814,587.45

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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.