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Finding the Third Proportional to 186,167 and 294,924

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Solution

The third proportional to 186,167 and 294,924 is: 467,215.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,167 : 294,924 = 294,924 : x
  2. Step 2: Convert to fraction form
    186,167/294,924 = 294,924/x
  3. Step 3: Cross multiply
    186,167x = 294,924 × 294,924
  4. Step 4: Simplify right side
    186,167x = 86,980,165,776
  5. Step 5: Solve for x
    x = 86,980,165,776/186,167
  6. Step 6: Final answer
    x = 467,215.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.