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Finding the Third Proportional to 148,435 and 302,054

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Solution

The third proportional to 148,435 and 302,054 is: 614,657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,435 : 302,054 = 302,054 : x
  2. Step 2: Convert to fraction form
    148,435/302,054 = 302,054/x
  3. Step 3: Cross multiply
    148,435x = 302,054 × 302,054
  4. Step 4: Simplify right side
    148,435x = 91,236,618,916
  5. Step 5: Solve for x
    x = 91,236,618,916/148,435
  6. Step 6: Final answer
    x = 614,657.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.