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Finding the Third Proportional to 163,927.50 and 260,659.50

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Solution

The third proportional to 163,927.50 and 260,659.50 is: 414,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,927.50 : 260,659.50 = 260,659.50 : x
  2. Step 2: Convert to fraction form
    163,927.50/260,659.50 = 260,659.50/x
  3. Step 3: Cross multiply
    163,927.50x = 260,659.50 × 260,659.50
  4. Step 4: Simplify right side
    163,927.50x = 67,943,374,940.25
  5. Step 5: Solve for x
    x = 67,943,374,940.25/163,927.50
  6. Step 6: Final answer
    x = 414,472.10

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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.