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Finding the Third Proportional to 163,779 and 262,732.50

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Solution

The third proportional to 163,779 and 262,732.50 is: 421,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,779 : 262,732.50 = 262,732.50 : x
  2. Step 2: Convert to fraction form
    163,779/262,732.50 = 262,732.50/x
  3. Step 3: Cross multiply
    163,779x = 262,732.50 × 262,732.50
  4. Step 4: Simplify right side
    163,779x = 69,028,366,556.25
  5. Step 5: Solve for x
    x = 69,028,366,556.25/163,779
  6. Step 6: Final answer
    x = 421,472.63

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.