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Finding the Third Proportional to 167,944 and 260,029.50

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Solution

The third proportional to 167,944 and 260,029.50 is: 402,606.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,944 : 260,029.50 = 260,029.50 : x
  2. Step 2: Convert to fraction form
    167,944/260,029.50 = 260,029.50/x
  3. Step 3: Cross multiply
    167,944x = 260,029.50 × 260,029.50
  4. Step 4: Simplify right side
    167,944x = 67,615,340,870.25
  5. Step 5: Solve for x
    x = 67,615,340,870.25/167,944
  6. Step 6: Final answer
    x = 402,606.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.