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Finding the Third Proportional to 183,478.50 and 258,377

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Solution

The third proportional to 183,478.50 and 258,377 is: 363,850.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,478.50 : 258,377 = 258,377 : x
  2. Step 2: Convert to fraction form
    183,478.50/258,377 = 258,377/x
  3. Step 3: Cross multiply
    183,478.50x = 258,377 × 258,377
  4. Step 4: Simplify right side
    183,478.50x = 66,758,674,129
  5. Step 5: Solve for x
    x = 66,758,674,129/183,478.50
  6. Step 6: Final answer
    x = 363,850.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.