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Finding the Third Proportional to 153,355 and 333,710

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Solution

The third proportional to 153,355 and 333,710 is: 726,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,355 : 333,710 = 333,710 : x
  2. Step 2: Convert to fraction form
    153,355/333,710 = 333,710/x
  3. Step 3: Cross multiply
    153,355x = 333,710 × 333,710
  4. Step 4: Simplify right side
    153,355x = 111,362,364,100
  5. Step 5: Solve for x
    x = 111,362,364,100/153,355
  6. Step 6: Final answer
    x = 726,173.68

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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.