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Finding the Third Proportional to 199,352 and 436,072

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Solution

The third proportional to 199,352 and 436,072 is: 953,884.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,352 : 436,072 = 436,072 : x
  2. Step 2: Convert to fraction form
    199,352/436,072 = 436,072/x
  3. Step 3: Cross multiply
    199,352x = 436,072 × 436,072
  4. Step 4: Simplify right side
    199,352x = 190,158,789,184
  5. Step 5: Solve for x
    x = 190,158,789,184/199,352
  6. Step 6: Final answer
    x = 953,884.53

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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.