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Finding the Third Proportional to 196,368 and 300,263.25

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Solution

The third proportional to 196,368 and 300,263.25 is: 459,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,368 : 300,263.25 = 300,263.25 : x
  2. Step 2: Convert to fraction form
    196,368/300,263.25 = 300,263.25/x
  3. Step 3: Cross multiply
    196,368x = 300,263.25 × 300,263.25
  4. Step 4: Simplify right side
    196,368x = 90,158,019,300.56
  5. Step 5: Solve for x
    x = 90,158,019,300.56/196,368
  6. Step 6: Final answer
    x = 459,127.86

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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.