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Finding the Third Proportional to 158,852 and 346,180

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Solution

The third proportional to 158,852 and 346,180 is: 754,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,852 : 346,180 = 346,180 : x
  2. Step 2: Convert to fraction form
    158,852/346,180 = 346,180/x
  3. Step 3: Cross multiply
    158,852x = 346,180 × 346,180
  4. Step 4: Simplify right side
    158,852x = 119,840,592,400
  5. Step 5: Solve for x
    x = 119,840,592,400/158,852
  6. Step 6: Final answer
    x = 754,416.64

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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.