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Finding the Third Proportional to 201,074 and 294,844

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Solution

The third proportional to 201,074 and 294,844 is: 432,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,074 : 294,844 = 294,844 : x
  2. Step 2: Convert to fraction form
    201,074/294,844 = 294,844/x
  3. Step 3: Cross multiply
    201,074x = 294,844 × 294,844
  4. Step 4: Simplify right side
    201,074x = 86,932,984,336
  5. Step 5: Solve for x
    x = 86,932,984,336/201,074
  6. Step 6: Final answer
    x = 432,343.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.