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Finding the Third Proportional to 163,741.50 and 260,374.13

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Solution

The third proportional to 163,741.50 and 260,374.13 is: 414,034.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,741.50 : 260,374.13 = 260,374.13 : x
  2. Step 2: Convert to fraction form
    163,741.50/260,374.13 = 260,374.13/x
  3. Step 3: Cross multiply
    163,741.50x = 260,374.13 × 260,374.13
  4. Step 4: Simplify right side
    163,741.50x = 67,794,684,969.52
  5. Step 5: Solve for x
    x = 67,794,684,969.52/163,741.50
  6. Step 6: Final answer
    x = 414,034.84

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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.