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Finding the Third Proportional to 154,316.50 and 315,783.38

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Solution

The third proportional to 154,316.50 and 315,783.38 is: 646,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,316.50 : 315,783.38 = 315,783.38 : x
  2. Step 2: Convert to fraction form
    154,316.50/315,783.38 = 315,783.38/x
  3. Step 3: Cross multiply
    154,316.50x = 315,783.38 × 315,783.38
  4. Step 4: Simplify right side
    154,316.50x = 99,719,139,926.39
  5. Step 5: Solve for x
    x = 99,719,139,926.39/154,316.50
  6. Step 6: Final answer
    x = 646,198.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.