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Finding the Third Proportional to 164,337 and 234,838.50

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Solution

The third proportional to 164,337 and 234,838.50 is: 335,585.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,337 : 234,838.50 = 234,838.50 : x
  2. Step 2: Convert to fraction form
    164,337/234,838.50 = 234,838.50/x
  3. Step 3: Cross multiply
    164,337x = 234,838.50 × 234,838.50
  4. Step 4: Simplify right side
    164,337x = 55,149,121,082.25
  5. Step 5: Solve for x
    x = 55,149,121,082.25/164,337
  6. Step 6: Final answer
    x = 335,585.54

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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.