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Finding the Third Proportional to 183,828 and 294,938

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Solution

The third proportional to 183,828 and 294,938 is: 473,205.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,828 : 294,938 = 294,938 : x
  2. Step 2: Convert to fraction form
    183,828/294,938 = 294,938/x
  3. Step 3: Cross multiply
    183,828x = 294,938 × 294,938
  4. Step 4: Simplify right side
    183,828x = 86,988,423,844
  5. Step 5: Solve for x
    x = 86,988,423,844/183,828
  6. Step 6: Final answer
    x = 473,205.52

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.