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Finding the Third Proportional to 199,316 and 308,937

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Solution

The third proportional to 199,316 and 308,937 is: 478,848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,316 : 308,937 = 308,937 : x
  2. Step 2: Convert to fraction form
    199,316/308,937 = 308,937/x
  3. Step 3: Cross multiply
    199,316x = 308,937 × 308,937
  4. Step 4: Simplify right side
    199,316x = 95,442,069,969
  5. Step 5: Solve for x
    x = 95,442,069,969/199,316
  6. Step 6: Final answer
    x = 478,848.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.