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Finding the Third Proportional to 148,145.80 and 325,127.49

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Solution

The third proportional to 148,145.80 and 325,127.49 is: 713,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,145.80 : 325,127.49 = 325,127.49 : x
  2. Step 2: Convert to fraction form
    148,145.80/325,127.49 = 325,127.49/x
  3. Step 3: Cross multiply
    148,145.80x = 325,127.49 × 325,127.49
  4. Step 4: Simplify right side
    148,145.80x = 105,707,887,287.41
  5. Step 5: Solve for x
    x = 105,707,887,287.41/148,145.80
  6. Step 6: Final answer
    x = 713,539.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.