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Finding the Third Proportional to 245,982 and 369,733

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Solution

The third proportional to 245,982 and 369,733 is: 555,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,982 : 369,733 = 369,733 : x
  2. Step 2: Convert to fraction form
    245,982/369,733 = 369,733/x
  3. Step 3: Cross multiply
    245,982x = 369,733 × 369,733
  4. Step 4: Simplify right side
    245,982x = 136,702,491,289
  5. Step 5: Solve for x
    x = 136,702,491,289/245,982
  6. Step 6: Final answer
    x = 555,741.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.