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Finding the Third Proportional to 153,369 and 235,406

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Solution

The third proportional to 153,369 and 235,406 is: 361,324.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,369 : 235,406 = 235,406 : x
  2. Step 2: Convert to fraction form
    153,369/235,406 = 235,406/x
  3. Step 3: Cross multiply
    153,369x = 235,406 × 235,406
  4. Step 4: Simplify right side
    153,369x = 55,415,984,836
  5. Step 5: Solve for x
    x = 55,415,984,836/153,369
  6. Step 6: Final answer
    x = 361,324.55

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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.