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Finding the Third Proportional to 138,224 and 216,870.50

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Solution

The third proportional to 138,224 and 216,870.50 is: 340,265.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,224 : 216,870.50 = 216,870.50 : x
  2. Step 2: Convert to fraction form
    138,224/216,870.50 = 216,870.50/x
  3. Step 3: Cross multiply
    138,224x = 216,870.50 × 216,870.50
  4. Step 4: Simplify right side
    138,224x = 47,032,813,770.25
  5. Step 5: Solve for x
    x = 47,032,813,770.25/138,224
  6. Step 6: Final answer
    x = 340,265.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.