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Finding the Third Proportional to 174,668 and 374,260

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Solution

The third proportional to 174,668 and 374,260 is: 801,924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,668 : 374,260 = 374,260 : x
  2. Step 2: Convert to fraction form
    174,668/374,260 = 374,260/x
  3. Step 3: Cross multiply
    174,668x = 374,260 × 374,260
  4. Step 4: Simplify right side
    174,668x = 140,070,547,600
  5. Step 5: Solve for x
    x = 140,070,547,600/174,668
  6. Step 6: Final answer
    x = 801,924.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.