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Finding the Third Proportional to 163,566.75 and 333,147.75

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Solution

The third proportional to 163,566.75 and 333,147.75 is: 678,545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,566.75 : 333,147.75 = 333,147.75 : x
  2. Step 2: Convert to fraction form
    163,566.75/333,147.75 = 333,147.75/x
  3. Step 3: Cross multiply
    163,566.75x = 333,147.75 × 333,147.75
  4. Step 4: Simplify right side
    163,566.75x = 110,987,423,330.06
  5. Step 5: Solve for x
    x = 110,987,423,330.06/163,566.75
  6. Step 6: Final answer
    x = 678,545.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.