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Finding the Third Proportional to 174,907 and 270,090

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Solution

The third proportional to 174,907 and 270,090 is: 417,070.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,907 : 270,090 = 270,090 : x
  2. Step 2: Convert to fraction form
    174,907/270,090 = 270,090/x
  3. Step 3: Cross multiply
    174,907x = 270,090 × 270,090
  4. Step 4: Simplify right side
    174,907x = 72,948,608,100
  5. Step 5: Solve for x
    x = 72,948,608,100/174,907
  6. Step 6: Final answer
    x = 417,070.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.