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Finding the Third Proportional to 175,427 and 273,407

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Solution

The third proportional to 175,427 and 273,407 is: 426,111.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,427 : 273,407 = 273,407 : x
  2. Step 2: Convert to fraction form
    175,427/273,407 = 273,407/x
  3. Step 3: Cross multiply
    175,427x = 273,407 × 273,407
  4. Step 4: Simplify right side
    175,427x = 74,751,387,649
  5. Step 5: Solve for x
    x = 74,751,387,649/175,427
  6. Step 6: Final answer
    x = 426,111.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.