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Finding the Third Proportional to 148,959 and 230,080.50

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Solution

The third proportional to 148,959 and 230,080.50 is: 355,379.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,959 : 230,080.50 = 230,080.50 : x
  2. Step 2: Convert to fraction form
    148,959/230,080.50 = 230,080.50/x
  3. Step 3: Cross multiply
    148,959x = 230,080.50 × 230,080.50
  4. Step 4: Simplify right side
    148,959x = 52,937,036,480.25
  5. Step 5: Solve for x
    x = 52,937,036,480.25/148,959
  6. Step 6: Final answer
    x = 355,379.91

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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.