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Finding the Third Proportional to 199,756.13 and 301,699.69

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Solution

The third proportional to 199,756.13 and 301,699.69 is: 455,669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,756.13 : 301,699.69 = 301,699.69 : x
  2. Step 2: Convert to fraction form
    199,756.13/301,699.69 = 301,699.69/x
  3. Step 3: Cross multiply
    199,756.13x = 301,699.69 × 301,699.69
  4. Step 4: Simplify right side
    199,756.13x = 91,022,701,437.60
  5. Step 5: Solve for x
    x = 91,022,701,437.60/199,756.13
  6. Step 6: Final answer
    x = 455,669.14

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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.