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Finding the Third Proportional to 139,678 and 216,235.50

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Solution

The third proportional to 139,678 and 216,235.50 is: 334,754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,678 : 216,235.50 = 216,235.50 : x
  2. Step 2: Convert to fraction form
    139,678/216,235.50 = 216,235.50/x
  3. Step 3: Cross multiply
    139,678x = 216,235.50 × 216,235.50
  4. Step 4: Simplify right side
    139,678x = 46,757,791,460.25
  5. Step 5: Solve for x
    x = 46,757,791,460.25/139,678
  6. Step 6: Final answer
    x = 334,754.16

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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.