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Finding the Third Proportional to 163,566 and 333,146

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Solution

The third proportional to 163,566 and 333,146 is: 678,541.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,566 : 333,146 = 333,146 : x
  2. Step 2: Convert to fraction form
    163,566/333,146 = 333,146/x
  3. Step 3: Cross multiply
    163,566x = 333,146 × 333,146
  4. Step 4: Simplify right side
    163,566x = 110,986,257,316
  5. Step 5: Solve for x
    x = 110,986,257,316/163,566
  6. Step 6: Final answer
    x = 678,541.12

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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.