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Finding the Third Proportional to 153,198 and 233,037

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Solution

The third proportional to 153,198 and 233,037 is: 354,484.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,198 : 233,037 = 233,037 : x
  2. Step 2: Convert to fraction form
    153,198/233,037 = 233,037/x
  3. Step 3: Cross multiply
    153,198x = 233,037 × 233,037
  4. Step 4: Simplify right side
    153,198x = 54,306,243,369
  5. Step 5: Solve for x
    x = 54,306,243,369/153,198
  6. Step 6: Final answer
    x = 354,484.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.