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Finding the Third Proportional to 183,362 and 291,764

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Solution

The third proportional to 183,362 and 291,764 is: 464,252.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,362 : 291,764 = 291,764 : x
  2. Step 2: Convert to fraction form
    183,362/291,764 = 291,764/x
  3. Step 3: Cross multiply
    183,362x = 291,764 × 291,764
  4. Step 4: Simplify right side
    183,362x = 85,126,231,696
  5. Step 5: Solve for x
    x = 85,126,231,696/183,362
  6. Step 6: Final answer
    x = 464,252.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.