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Finding the Third Proportional to 175,208 and 373,712

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Solution

The third proportional to 175,208 and 373,712 is: 797,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,208 : 373,712 = 373,712 : x
  2. Step 2: Convert to fraction form
    175,208/373,712 = 373,712/x
  3. Step 3: Cross multiply
    175,208x = 373,712 × 373,712
  4. Step 4: Simplify right side
    175,208x = 139,660,658,944
  5. Step 5: Solve for x
    x = 139,660,658,944/175,208
  6. Step 6: Final answer
    x = 797,113.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.