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Finding the Third Proportional to 245,970 and 376,093

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Solution

The third proportional to 245,970 and 376,093 is: 575,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,970 : 376,093 = 376,093 : x
  2. Step 2: Convert to fraction form
    245,970/376,093 = 376,093/x
  3. Step 3: Cross multiply
    245,970x = 376,093 × 376,093
  4. Step 4: Simplify right side
    245,970x = 141,445,944,649
  5. Step 5: Solve for x
    x = 141,445,944,649/245,970
  6. Step 6: Final answer
    x = 575,053.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.