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Finding the Third Proportional to 164,308 and 234,790

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Solution

The third proportional to 164,308 and 234,790 is: 335,506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,308 : 234,790 = 234,790 : x
  2. Step 2: Convert to fraction form
    164,308/234,790 = 234,790/x
  3. Step 3: Cross multiply
    164,308x = 234,790 × 234,790
  4. Step 4: Simplify right side
    164,308x = 55,126,344,100
  5. Step 5: Solve for x
    x = 55,126,344,100/164,308
  6. Step 6: Final answer
    x = 335,506.15

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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.