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Finding the Third Proportional to 153,742 and 333,728

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Solution

The third proportional to 153,742 and 333,728 is: 724,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,742 : 333,728 = 333,728 : x
  2. Step 2: Convert to fraction form
    153,742/333,728 = 333,728/x
  3. Step 3: Cross multiply
    153,742x = 333,728 × 333,728
  4. Step 4: Simplify right side
    153,742x = 111,374,377,984
  5. Step 5: Solve for x
    x = 111,374,377,984/153,742
  6. Step 6: Final answer
    x = 724,423.89

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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.