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Finding the Third Proportional to 235,584 and 350,176

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Solution

The third proportional to 235,584 and 350,176 is: 520,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,584 : 350,176 = 350,176 : x
  2. Step 2: Convert to fraction form
    235,584/350,176 = 350,176/x
  3. Step 3: Cross multiply
    235,584x = 350,176 × 350,176
  4. Step 4: Simplify right side
    235,584x = 122,623,230,976
  5. Step 5: Solve for x
    x = 122,623,230,976/235,584
  6. Step 6: Final answer
    x = 520,507.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.