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Finding the Third Proportional to 161,846 and 245,018

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Solution

The third proportional to 161,846 and 245,018 is: 370,931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,846 : 245,018 = 245,018 : x
  2. Step 2: Convert to fraction form
    161,846/245,018 = 245,018/x
  3. Step 3: Cross multiply
    161,846x = 245,018 × 245,018
  4. Step 4: Simplify right side
    161,846x = 60,033,820,324
  5. Step 5: Solve for x
    x = 60,033,820,324/161,846
  6. Step 6: Final answer
    x = 370,931.75

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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.