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Finding the Third Proportional to 153,362 and 333,724

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Solution

The third proportional to 153,362 and 333,724 is: 726,201.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,362 : 333,724 = 333,724 : x
  2. Step 2: Convert to fraction form
    153,362/333,724 = 333,724/x
  3. Step 3: Cross multiply
    153,362x = 333,724 × 333,724
  4. Step 4: Simplify right side
    153,362x = 111,371,708,176
  5. Step 5: Solve for x
    x = 111,371,708,176/153,362
  6. Step 6: Final answer
    x = 726,201.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.