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Finding the Third Proportional to 133,047 and 199,046

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Solution

The third proportional to 133,047 and 199,046 is: 297,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,047 : 199,046 = 199,046 : x
  2. Step 2: Convert to fraction form
    133,047/199,046 = 199,046/x
  3. Step 3: Cross multiply
    133,047x = 199,046 × 199,046
  4. Step 4: Simplify right side
    133,047x = 39,619,310,116
  5. Step 5: Solve for x
    x = 39,619,310,116/133,047
  6. Step 6: Final answer
    x = 297,784.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.