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Finding the Third Proportional to 148,172.63 and 320,036.91

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Solution

The third proportional to 148,172.63 and 320,036.91 is: 691,245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,172.63 : 320,036.91 = 320,036.91 : x
  2. Step 2: Convert to fraction form
    148,172.63/320,036.91 = 320,036.91/x
  3. Step 3: Cross multiply
    148,172.63x = 320,036.91 × 320,036.91
  4. Step 4: Simplify right side
    148,172.63x = 102,423,621,362.07
  5. Step 5: Solve for x
    x = 102,423,621,362.07/148,172.63
  6. Step 6: Final answer
    x = 691,245.24

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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.