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Finding the Third Proportional to 153,704 and 333,664

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Solution

The third proportional to 153,704 and 333,664 is: 724,325.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,704 : 333,664 = 333,664 : x
  2. Step 2: Convert to fraction form
    153,704/333,664 = 333,664/x
  3. Step 3: Cross multiply
    153,704x = 333,664 × 333,664
  4. Step 4: Simplify right side
    153,704x = 111,331,664,896
  5. Step 5: Solve for x
    x = 111,331,664,896/153,704
  6. Step 6: Final answer
    x = 724,325.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.