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Finding the Third Proportional to 195,238 and 294,937

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Solution

The third proportional to 195,238 and 294,937 is: 445,547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,238 : 294,937 = 294,937 : x
  2. Step 2: Convert to fraction form
    195,238/294,937 = 294,937/x
  3. Step 3: Cross multiply
    195,238x = 294,937 × 294,937
  4. Step 4: Simplify right side
    195,238x = 86,987,833,969
  5. Step 5: Solve for x
    x = 86,987,833,969/195,238
  6. Step 6: Final answer
    x = 445,547.66

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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.