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Finding the Third Proportional to 154,430 and 333,462

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Solution

The third proportional to 154,430 and 333,462 is: 720,047.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,430 : 333,462 = 333,462 : x
  2. Step 2: Convert to fraction form
    154,430/333,462 = 333,462/x
  3. Step 3: Cross multiply
    154,430x = 333,462 × 333,462
  4. Step 4: Simplify right side
    154,430x = 111,196,905,444
  5. Step 5: Solve for x
    x = 111,196,905,444/154,430
  6. Step 6: Final answer
    x = 720,047.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.