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Finding the Third Proportional to 245,964 and 376,083

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Solution

The third proportional to 245,964 and 376,083 is: 575,037.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,964 : 376,083 = 376,083 : x
  2. Step 2: Convert to fraction form
    245,964/376,083 = 376,083/x
  3. Step 3: Cross multiply
    245,964x = 376,083 × 376,083
  4. Step 4: Simplify right side
    245,964x = 141,438,422,889
  5. Step 5: Solve for x
    x = 141,438,422,889/245,964
  6. Step 6: Final answer
    x = 575,037.09

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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.