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Finding the Third Proportional to 164,360 and 341,354

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Solution

The third proportional to 164,360 and 341,354 is: 708,947.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,360 : 341,354 = 341,354 : x
  2. Step 2: Convert to fraction form
    164,360/341,354 = 341,354/x
  3. Step 3: Cross multiply
    164,360x = 341,354 × 341,354
  4. Step 4: Simplify right side
    164,360x = 116,522,553,316
  5. Step 5: Solve for x
    x = 116,522,553,316/164,360
  6. Step 6: Final answer
    x = 708,947.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.