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Finding the Third Proportional to 153,351 and 333,702

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Solution

The third proportional to 153,351 and 333,702 is: 726,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,351 : 333,702 = 333,702 : x
  2. Step 2: Convert to fraction form
    153,351/333,702 = 333,702/x
  3. Step 3: Cross multiply
    153,351x = 333,702 × 333,702
  4. Step 4: Simplify right side
    153,351x = 111,357,024,804
  5. Step 5: Solve for x
    x = 111,357,024,804/153,351
  6. Step 6: Final answer
    x = 726,157.80

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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.