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Finding the Third Proportional to 128,799 and 197,033

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Solution

The third proportional to 128,799 and 197,033 is: 301,415.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,799 : 197,033 = 197,033 : x
  2. Step 2: Convert to fraction form
    128,799/197,033 = 197,033/x
  3. Step 3: Cross multiply
    128,799x = 197,033 × 197,033
  4. Step 4: Simplify right side
    128,799x = 38,822,003,089
  5. Step 5: Solve for x
    x = 38,822,003,089/128,799
  6. Step 6: Final answer
    x = 301,415.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.