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Finding the Third Proportional to 163,912 and 232,140

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Solution

The third proportional to 163,912 and 232,140 is: 328,767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,912 : 232,140 = 232,140 : x
  2. Step 2: Convert to fraction form
    163,912/232,140 = 232,140/x
  3. Step 3: Cross multiply
    163,912x = 232,140 × 232,140
  4. Step 4: Simplify right side
    163,912x = 53,888,979,600
  5. Step 5: Solve for x
    x = 53,888,979,600/163,912
  6. Step 6: Final answer
    x = 328,767.75

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.