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Finding the Third Proportional to 201,690 and 440,316

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Solution

The third proportional to 201,690 and 440,316 is: 961,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,690 : 440,316 = 440,316 : x
  2. Step 2: Convert to fraction form
    201,690/440,316 = 440,316/x
  3. Step 3: Cross multiply
    201,690x = 440,316 × 440,316
  4. Step 4: Simplify right side
    201,690x = 193,878,179,856
  5. Step 5: Solve for x
    x = 193,878,179,856/201,690
  6. Step 6: Final answer
    x = 961,268.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.