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Finding the Third Proportional to 108,490 and 223,946

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Solution

The third proportional to 108,490 and 223,946 is: 462,271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,490 : 223,946 = 223,946 : x
  2. Step 2: Convert to fraction form
    108,490/223,946 = 223,946/x
  3. Step 3: Cross multiply
    108,490x = 223,946 × 223,946
  4. Step 4: Simplify right side
    108,490x = 50,151,810,916
  5. Step 5: Solve for x
    x = 50,151,810,916/108,490
  6. Step 6: Final answer
    x = 462,271.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.