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Finding the Third Proportional to 193,345.88 and 284,405.63

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Solution

The third proportional to 193,345.88 and 284,405.63 is: 418,351.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,345.88 : 284,405.63 = 284,405.63 : x
  2. Step 2: Convert to fraction form
    193,345.88/284,405.63 = 284,405.63/x
  3. Step 3: Cross multiply
    193,345.88x = 284,405.63 × 284,405.63
  4. Step 4: Simplify right side
    193,345.88x = 80,886,559,531.64
  5. Step 5: Solve for x
    x = 80,886,559,531.64/193,345.88
  6. Step 6: Final answer
    x = 418,351.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.