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Finding the Third Proportional to 163,840 and 221,357.50

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Solution

The third proportional to 163,840 and 221,357.50 is: 299,067.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,840 : 221,357.50 = 221,357.50 : x
  2. Step 2: Convert to fraction form
    163,840/221,357.50 = 221,357.50/x
  3. Step 3: Cross multiply
    163,840x = 221,357.50 × 221,357.50
  4. Step 4: Simplify right side
    163,840x = 48,999,142,806.25
  5. Step 5: Solve for x
    x = 48,999,142,806.25/163,840
  6. Step 6: Final answer
    x = 299,067.03

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.