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Finding the Third Proportional to 200,621 and 311,646

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Solution

The third proportional to 200,621 and 311,646 is: 484,112.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,621 : 311,646 = 311,646 : x
  2. Step 2: Convert to fraction form
    200,621/311,646 = 311,646/x
  3. Step 3: Cross multiply
    200,621x = 311,646 × 311,646
  4. Step 4: Simplify right side
    200,621x = 97,123,229,316
  5. Step 5: Solve for x
    x = 97,123,229,316/200,621
  6. Step 6: Final answer
    x = 484,112.98

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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.