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Finding the Third Proportional to 159,964 and 370,326

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Solution

The third proportional to 159,964 and 370,326 is: 857,326.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,964 : 370,326 = 370,326 : x
  2. Step 2: Convert to fraction form
    159,964/370,326 = 370,326/x
  3. Step 3: Cross multiply
    159,964x = 370,326 × 370,326
  4. Step 4: Simplify right side
    159,964x = 137,141,346,276
  5. Step 5: Solve for x
    x = 137,141,346,276/159,964
  6. Step 6: Final answer
    x = 857,326.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.