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Finding the Third Proportional to 148,898.25 and 321,124.50

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Solution

The third proportional to 148,898.25 and 321,124.50 is: 692,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,898.25 : 321,124.50 = 321,124.50 : x
  2. Step 2: Convert to fraction form
    148,898.25/321,124.50 = 321,124.50/x
  3. Step 3: Cross multiply
    148,898.25x = 321,124.50 × 321,124.50
  4. Step 4: Simplify right side
    148,898.25x = 103,120,944,500.25
  5. Step 5: Solve for x
    x = 103,120,944,500.25/148,898.25
  6. Step 6: Final answer
    x = 692,559.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.