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Finding the Third Proportional to 169,358 and 362,068

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Solution

The third proportional to 169,358 and 362,068 is: 774,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,358 : 362,068 = 362,068 : x
  2. Step 2: Convert to fraction form
    169,358/362,068 = 362,068/x
  3. Step 3: Cross multiply
    169,358x = 362,068 × 362,068
  4. Step 4: Simplify right side
    169,358x = 131,093,236,624
  5. Step 5: Solve for x
    x = 131,093,236,624/169,358
  6. Step 6: Final answer
    x = 774,059.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.