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Finding the Third Proportional to 128,541 and 197,698.50

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Solution

The third proportional to 128,541 and 197,698.50 is: 304,064.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,541 : 197,698.50 = 197,698.50 : x
  2. Step 2: Convert to fraction form
    128,541/197,698.50 = 197,698.50/x
  3. Step 3: Cross multiply
    128,541x = 197,698.50 × 197,698.50
  4. Step 4: Simplify right side
    128,541x = 39,084,696,902.25
  5. Step 5: Solve for x
    x = 39,084,696,902.25/128,541
  6. Step 6: Final answer
    x = 304,064.05

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.