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Finding the Third Proportional to 123,403.50 and 262,377.38

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Solution

The third proportional to 123,403.50 and 262,377.38 is: 557,860.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,403.50 : 262,377.38 = 262,377.38 : x
  2. Step 2: Convert to fraction form
    123,403.50/262,377.38 = 262,377.38/x
  3. Step 3: Cross multiply
    123,403.50x = 262,377.38 × 262,377.38
  4. Step 4: Simplify right side
    123,403.50x = 68,841,886,911.89
  5. Step 5: Solve for x
    x = 68,841,886,911.89/123,403.50
  6. Step 6: Final answer
    x = 557,860.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.