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Finding the Third Proportional to 199,396 and 436,232

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Solution

The third proportional to 199,396 and 436,232 is: 954,374.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,396 : 436,232 = 436,232 : x
  2. Step 2: Convert to fraction form
    199,396/436,232 = 436,232/x
  3. Step 3: Cross multiply
    199,396x = 436,232 × 436,232
  4. Step 4: Simplify right side
    199,396x = 190,298,357,824
  5. Step 5: Solve for x
    x = 190,298,357,824/199,396
  6. Step 6: Final answer
    x = 954,374.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.