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Finding the Third Proportional to 200,335 and 408,090

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Solution

The third proportional to 200,335 and 408,090 is: 831,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,335 : 408,090 = 408,090 : x
  2. Step 2: Convert to fraction form
    200,335/408,090 = 408,090/x
  3. Step 3: Cross multiply
    200,335x = 408,090 × 408,090
  4. Step 4: Simplify right side
    200,335x = 166,537,448,100
  5. Step 5: Solve for x
    x = 166,537,448,100/200,335
  6. Step 6: Final answer
    x = 831,294.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.