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Finding the Third Proportional to 152,710 and 233,014

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Solution

The third proportional to 152,710 and 233,014 is: 355,546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,710 : 233,014 = 233,014 : x
  2. Step 2: Convert to fraction form
    152,710/233,014 = 233,014/x
  3. Step 3: Cross multiply
    152,710x = 233,014 × 233,014
  4. Step 4: Simplify right side
    152,710x = 54,295,524,196
  5. Step 5: Solve for x
    x = 54,295,524,196/152,710
  6. Step 6: Final answer
    x = 355,546.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.