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Finding the Third Proportional to 190,700 and 411,388

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Solution

The third proportional to 190,700 and 411,388 is: 887,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,700 : 411,388 = 411,388 : x
  2. Step 2: Convert to fraction form
    190,700/411,388 = 411,388/x
  3. Step 3: Cross multiply
    190,700x = 411,388 × 411,388
  4. Step 4: Simplify right side
    190,700x = 169,240,086,544
  5. Step 5: Solve for x
    x = 169,240,086,544/190,700
  6. Step 6: Final answer
    x = 887,467.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.