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Finding the Third Proportional to 199,622.25 and 301,513.50

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Solution

The third proportional to 199,622.25 and 301,513.50 is: 455,412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,622.25 : 301,513.50 = 301,513.50 : x
  2. Step 2: Convert to fraction form
    199,622.25/301,513.50 = 301,513.50/x
  3. Step 3: Cross multiply
    199,622.25x = 301,513.50 × 301,513.50
  4. Step 4: Simplify right side
    199,622.25x = 90,910,390,682.25
  5. Step 5: Solve for x
    x = 90,910,390,682.25/199,622.25
  6. Step 6: Final answer
    x = 455,412.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.