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Finding the Third Proportional to 151,708 and 332,575

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Solution

The third proportional to 151,708 and 332,575 is: 729,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,708 : 332,575 = 332,575 : x
  2. Step 2: Convert to fraction form
    151,708/332,575 = 332,575/x
  3. Step 3: Cross multiply
    151,708x = 332,575 × 332,575
  4. Step 4: Simplify right side
    151,708x = 110,606,130,625
  5. Step 5: Solve for x
    x = 110,606,130,625/151,708
  6. Step 6: Final answer
    x = 729,072.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.