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Finding the Third Proportional to 164,313 and 234,805.50

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Solution

The third proportional to 164,313 and 234,805.50 is: 335,540.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,313 : 234,805.50 = 234,805.50 : x
  2. Step 2: Convert to fraction form
    164,313/234,805.50 = 234,805.50/x
  3. Step 3: Cross multiply
    164,313x = 234,805.50 × 234,805.50
  4. Step 4: Simplify right side
    164,313x = 55,133,622,830.25
  5. Step 5: Solve for x
    x = 55,133,622,830.25/164,313
  6. Step 6: Final answer
    x = 335,540.24

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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.