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Finding the Third Proportional to 164,316 and 336,420

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Solution

The third proportional to 164,316 and 336,420 is: 688,785.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,316 : 336,420 = 336,420 : x
  2. Step 2: Convert to fraction form
    164,316/336,420 = 336,420/x
  3. Step 3: Cross multiply
    164,316x = 336,420 × 336,420
  4. Step 4: Simplify right side
    164,316x = 113,178,416,400
  5. Step 5: Solve for x
    x = 113,178,416,400/164,316
  6. Step 6: Final answer
    x = 688,785.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.