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Finding the Third Proportional to 163,645.31 and 260,237.81

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Solution

The third proportional to 163,645.31 and 260,237.81 is: 413,844.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,645.31 : 260,237.81 = 260,237.81 : x
  2. Step 2: Convert to fraction form
    163,645.31/260,237.81 = 260,237.81/x
  3. Step 3: Cross multiply
    163,645.31x = 260,237.81 × 260,237.81
  4. Step 4: Simplify right side
    163,645.31x = 67,723,719,054.79
  5. Step 5: Solve for x
    x = 67,723,719,054.79/163,645.31
  6. Step 6: Final answer
    x = 413,844.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.