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Finding the Third Proportional to 163,050.75 and 257,708.25

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Solution

The third proportional to 163,050.75 and 257,708.25 is: 407,318.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,050.75 : 257,708.25 = 257,708.25 : x
  2. Step 2: Convert to fraction form
    163,050.75/257,708.25 = 257,708.25/x
  3. Step 3: Cross multiply
    163,050.75x = 257,708.25 × 257,708.25
  4. Step 4: Simplify right side
    163,050.75x = 66,413,542,118.06
  5. Step 5: Solve for x
    x = 66,413,542,118.06/163,050.75
  6. Step 6: Final answer
    x = 407,318.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.