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Finding the Third Proportional to 174,748 and 374,984

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Solution

The third proportional to 174,748 and 374,984 is: 804,661.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,748 : 374,984 = 374,984 : x
  2. Step 2: Convert to fraction form
    174,748/374,984 = 374,984/x
  3. Step 3: Cross multiply
    174,748x = 374,984 × 374,984
  4. Step 4: Simplify right side
    174,748x = 140,613,000,256
  5. Step 5: Solve for x
    x = 140,613,000,256/174,748
  6. Step 6: Final answer
    x = 804,661.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.