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Finding the Third Proportional to 155,311.17 and 335,097

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Solution

The third proportional to 155,311.17 and 335,097 is: 723,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,311.17 : 335,097 = 335,097 : x
  2. Step 2: Convert to fraction form
    155,311.17/335,097 = 335,097/x
  3. Step 3: Cross multiply
    155,311.17x = 335,097 × 335,097
  4. Step 4: Simplify right side
    155,311.17x = 112,289,999,409
  5. Step 5: Solve for x
    x = 112,289,999,409/155,311.17
  6. Step 6: Final answer
    x = 723,000.14

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Why These Related Problems?

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