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Finding the Third Proportional to 186,004 and 238,828

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Solution

The third proportional to 186,004 and 238,828 is: 306,653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,004 : 238,828 = 238,828 : x
  2. Step 2: Convert to fraction form
    186,004/238,828 = 238,828/x
  3. Step 3: Cross multiply
    186,004x = 238,828 × 238,828
  4. Step 4: Simplify right side
    186,004x = 57,038,813,584
  5. Step 5: Solve for x
    x = 57,038,813,584/186,004
  6. Step 6: Final answer
    x = 306,653.69

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.