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Finding the Third Proportional to 186,169 and 294,927

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Solution

The third proportional to 186,169 and 294,927 is: 467,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,169 : 294,927 = 294,927 : x
  2. Step 2: Convert to fraction form
    186,169/294,927 = 294,927/x
  3. Step 3: Cross multiply
    186,169x = 294,927 × 294,927
  4. Step 4: Simplify right side
    186,169x = 86,981,935,329
  5. Step 5: Solve for x
    x = 86,981,935,329/186,169
  6. Step 6: Final answer
    x = 467,220.30

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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.