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Finding the Third Proportional to 163,062.75 and 257,726.25

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Solution

The third proportional to 163,062.75 and 257,726.25 is: 407,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,062.75 : 257,726.25 = 257,726.25 : x
  2. Step 2: Convert to fraction form
    163,062.75/257,726.25 = 257,726.25/x
  3. Step 3: Cross multiply
    163,062.75x = 257,726.25 × 257,726.25
  4. Step 4: Simplify right side
    163,062.75x = 66,422,819,939.06
  5. Step 5: Solve for x
    x = 66,422,819,939.06/163,062.75
  6. Step 6: Final answer
    x = 407,345.15

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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.