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Finding the Third Proportional to 190,332 and 414,556

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Solution

The third proportional to 190,332 and 414,556 is: 902,931.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,332 : 414,556 = 414,556 : x
  2. Step 2: Convert to fraction form
    190,332/414,556 = 414,556/x
  3. Step 3: Cross multiply
    190,332x = 414,556 × 414,556
  4. Step 4: Simplify right side
    190,332x = 171,856,677,136
  5. Step 5: Solve for x
    x = 171,856,677,136/190,332
  6. Step 6: Final answer
    x = 902,931.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.