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Finding the Third Proportional to 169,485 and 232,400.25

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Solution

The third proportional to 169,485 and 232,400.25 is: 318,670.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,485 : 232,400.25 = 232,400.25 : x
  2. Step 2: Convert to fraction form
    169,485/232,400.25 = 232,400.25/x
  3. Step 3: Cross multiply
    169,485x = 232,400.25 × 232,400.25
  4. Step 4: Simplify right side
    169,485x = 54,009,876,200.06
  5. Step 5: Solve for x
    x = 54,009,876,200.06/169,485
  6. Step 6: Final answer
    x = 318,670.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.