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Finding the Third Proportional to 148,980.94 and 325,814.06

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Solution

The third proportional to 148,980.94 and 325,814.06 is: 712,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,980.94 : 325,814.06 = 325,814.06 : x
  2. Step 2: Convert to fraction form
    148,980.94/325,814.06 = 325,814.06/x
  3. Step 3: Cross multiply
    148,980.94x = 325,814.06 × 325,814.06
  4. Step 4: Simplify right side
    148,980.94x = 106,154,803,322.75
  5. Step 5: Solve for x
    x = 106,154,803,322.75/148,980.94
  6. Step 6: Final answer
    x = 712,539.50

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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.