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Finding the Third Proportional to 164,798 and 223,863

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Solution

The third proportional to 164,798 and 223,863 is: 304,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,798 : 223,863 = 223,863 : x
  2. Step 2: Convert to fraction form
    164,798/223,863 = 223,863/x
  3. Step 3: Cross multiply
    164,798x = 223,863 × 223,863
  4. Step 4: Simplify right side
    164,798x = 50,114,642,769
  5. Step 5: Solve for x
    x = 50,114,642,769/164,798
  6. Step 6: Final answer
    x = 304,097.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.