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Finding the Third Proportional to 163,544 and 250,140

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Solution

The third proportional to 163,544 and 250,140 is: 382,588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,544 : 250,140 = 250,140 : x
  2. Step 2: Convert to fraction form
    163,544/250,140 = 250,140/x
  3. Step 3: Cross multiply
    163,544x = 250,140 × 250,140
  4. Step 4: Simplify right side
    163,544x = 62,570,019,600
  5. Step 5: Solve for x
    x = 62,570,019,600/163,544
  6. Step 6: Final answer
    x = 382,588.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.