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Finding the Third Proportional to 175,214 and 373,724

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Solution

The third proportional to 175,214 and 373,724 is: 797,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,214 : 373,724 = 373,724 : x
  2. Step 2: Convert to fraction form
    175,214/373,724 = 373,724/x
  3. Step 3: Cross multiply
    175,214x = 373,724 × 373,724
  4. Step 4: Simplify right side
    175,214x = 139,669,628,176
  5. Step 5: Solve for x
    x = 139,669,628,176/175,214
  6. Step 6: Final answer
    x = 797,137.38

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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.