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Finding the Third Proportional to 163,059 and 358,194

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Solution

The third proportional to 163,059 and 358,194 is: 786,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,059 : 358,194 = 358,194 : x
  2. Step 2: Convert to fraction form
    163,059/358,194 = 358,194/x
  3. Step 3: Cross multiply
    163,059x = 358,194 × 358,194
  4. Step 4: Simplify right side
    163,059x = 128,302,941,636
  5. Step 5: Solve for x
    x = 128,302,941,636/163,059
  6. Step 6: Final answer
    x = 786,849.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.