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Finding the Third Proportional to 233,352 and 352,164

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Solution

The third proportional to 233,352 and 352,164 is: 531,469.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,352 : 352,164 = 352,164 : x
  2. Step 2: Convert to fraction form
    233,352/352,164 = 352,164/x
  3. Step 3: Cross multiply
    233,352x = 352,164 × 352,164
  4. Step 4: Simplify right side
    233,352x = 124,019,482,896
  5. Step 5: Solve for x
    x = 124,019,482,896/233,352
  6. Step 6: Final answer
    x = 531,469.55

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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.