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Finding the Third Proportional to 155,855.81 and 336,580.31

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Solution

The third proportional to 155,855.81 and 336,580.31 is: 726,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,855.81 : 336,580.31 = 336,580.31 : x
  2. Step 2: Convert to fraction form
    155,855.81/336,580.31 = 336,580.31/x
  3. Step 3: Cross multiply
    155,855.81x = 336,580.31 × 336,580.31
  4. Step 4: Simplify right side
    155,855.81x = 113,286,306,762.60
  5. Step 5: Solve for x
    x = 113,286,306,762.60/155,855.81
  6. Step 6: Final answer
    x = 726,866.10

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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.