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Finding the Third Proportional to 245,868 and 370,533

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Solution

The third proportional to 245,868 and 370,533 is: 558,408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,868 : 370,533 = 370,533 : x
  2. Step 2: Convert to fraction form
    245,868/370,533 = 370,533/x
  3. Step 3: Cross multiply
    245,868x = 370,533 × 370,533
  4. Step 4: Simplify right side
    245,868x = 137,294,704,089
  5. Step 5: Solve for x
    x = 137,294,704,089/245,868
  6. Step 6: Final answer
    x = 558,408.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.