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Finding the Third Proportional to 139,740.19 and 213,300.84

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Solution

The third proportional to 139,740.19 and 213,300.84 is: 325,584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,740.19 : 213,300.84 = 213,300.84 : x
  2. Step 2: Convert to fraction form
    139,740.19/213,300.84 = 213,300.84/x
  3. Step 3: Cross multiply
    139,740.19x = 213,300.84 × 213,300.84
  4. Step 4: Simplify right side
    139,740.19x = 45,497,249,944.46
  5. Step 5: Solve for x
    x = 45,497,249,944.46/139,740.19
  6. Step 6: Final answer
    x = 325,584.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.