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Finding the Third Proportional to 139,417.50 and 216,184.50

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Solution

The third proportional to 139,417.50 and 216,184.50 is: 335,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,417.50 : 216,184.50 = 216,184.50 : x
  2. Step 2: Convert to fraction form
    139,417.50/216,184.50 = 216,184.50/x
  3. Step 3: Cross multiply
    139,417.50x = 216,184.50 × 216,184.50
  4. Step 4: Simplify right side
    139,417.50x = 46,735,738,040.25
  5. Step 5: Solve for x
    x = 46,735,738,040.25/139,417.50
  6. Step 6: Final answer
    x = 335,221.46

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Why These Related Problems?

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