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Finding the Third Proportional to 233,054 and 359,884

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Solution

The third proportional to 233,054 and 359,884 is: 555,735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,054 : 359,884 = 359,884 : x
  2. Step 2: Convert to fraction form
    233,054/359,884 = 359,884/x
  3. Step 3: Cross multiply
    233,054x = 359,884 × 359,884
  4. Step 4: Simplify right side
    233,054x = 129,516,493,456
  5. Step 5: Solve for x
    x = 129,516,493,456/233,054
  6. Step 6: Final answer
    x = 555,735.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.