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Finding the Third Proportional to 103,479.50 and 186,405

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Solution

The third proportional to 103,479.50 and 186,405 is: 335,784.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,479.50 : 186,405 = 186,405 : x
  2. Step 2: Convert to fraction form
    103,479.50/186,405 = 186,405/x
  3. Step 3: Cross multiply
    103,479.50x = 186,405 × 186,405
  4. Step 4: Simplify right side
    103,479.50x = 34,746,824,025
  5. Step 5: Solve for x
    x = 34,746,824,025/103,479.50
  6. Step 6: Final answer
    x = 335,784.61

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.