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Finding the Third Proportional to 150,772 and 199,354

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Solution

The third proportional to 150,772 and 199,354 is: 263,590.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,772 : 199,354 = 199,354 : x
  2. Step 2: Convert to fraction form
    150,772/199,354 = 199,354/x
  3. Step 3: Cross multiply
    150,772x = 199,354 × 199,354
  4. Step 4: Simplify right side
    150,772x = 39,742,017,316
  5. Step 5: Solve for x
    x = 39,742,017,316/150,772
  6. Step 6: Final answer
    x = 263,590.17

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.