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Finding the Third Proportional to 233,352 and 352,176

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Solution

The third proportional to 233,352 and 352,176 is: 531,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,352 : 352,176 = 352,176 : x
  2. Step 2: Convert to fraction form
    233,352/352,176 = 352,176/x
  3. Step 3: Cross multiply
    233,352x = 352,176 × 352,176
  4. Step 4: Simplify right side
    233,352x = 124,027,934,976
  5. Step 5: Solve for x
    x = 124,027,934,976/233,352
  6. Step 6: Final answer
    x = 531,505.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.