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Finding the Third Proportional to 163,842.75 and 254,502

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Solution

The third proportional to 163,842.75 and 254,502 is: 395,325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,842.75 : 254,502 = 254,502 : x
  2. Step 2: Convert to fraction form
    163,842.75/254,502 = 254,502/x
  3. Step 3: Cross multiply
    163,842.75x = 254,502 × 254,502
  4. Step 4: Simplify right side
    163,842.75x = 64,771,268,004
  5. Step 5: Solve for x
    x = 64,771,268,004/163,842.75
  6. Step 6: Final answer
    x = 395,325.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.