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Finding the Third Proportional to 163,815.75 and 257,023.50

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Solution

The third proportional to 163,815.75 and 257,023.50 is: 403,264.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,815.75 : 257,023.50 = 257,023.50 : x
  2. Step 2: Convert to fraction form
    163,815.75/257,023.50 = 257,023.50/x
  3. Step 3: Cross multiply
    163,815.75x = 257,023.50 × 257,023.50
  4. Step 4: Simplify right side
    163,815.75x = 66,061,079,552.25
  5. Step 5: Solve for x
    x = 66,061,079,552.25/163,815.75
  6. Step 6: Final answer
    x = 403,264.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.