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Finding the Third Proportional to 233,762 and 333,129

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Solution

The third proportional to 233,762 and 333,129 is: 474,734.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,762 : 333,129 = 333,129 : x
  2. Step 2: Convert to fraction form
    233,762/333,129 = 333,129/x
  3. Step 3: Cross multiply
    233,762x = 333,129 × 333,129
  4. Step 4: Simplify right side
    233,762x = 110,974,930,641
  5. Step 5: Solve for x
    x = 110,974,930,641/233,762
  6. Step 6: Final answer
    x = 474,734.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.