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Finding the Third Proportional to 89,316 and 178,631

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Solution

The third proportional to 89,316 and 178,631 is: 357,260.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,316 : 178,631 = 178,631 : x
  2. Step 2: Convert to fraction form
    89,316/178,631 = 178,631/x
  3. Step 3: Cross multiply
    89,316x = 178,631 × 178,631
  4. Step 4: Simplify right side
    89,316x = 31,909,034,161
  5. Step 5: Solve for x
    x = 31,909,034,161/89,316
  6. Step 6: Final answer
    x = 357,260.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.