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Finding the Third Proportional to 153,027 and 333,159

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Solution

The third proportional to 153,027 and 333,159 is: 725,328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,027 : 333,159 = 333,159 : x
  2. Step 2: Convert to fraction form
    153,027/333,159 = 333,159/x
  3. Step 3: Cross multiply
    153,027x = 333,159 × 333,159
  4. Step 4: Simplify right side
    153,027x = 110,994,919,281
  5. Step 5: Solve for x
    x = 110,994,919,281/153,027
  6. Step 6: Final answer
    x = 725,328.99

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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.