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Finding the Third Proportional to 125,698 and 264,322

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Solution

The third proportional to 125,698 and 264,322 is: 555,825.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,698 : 264,322 = 264,322 : x
  2. Step 2: Convert to fraction form
    125,698/264,322 = 264,322/x
  3. Step 3: Cross multiply
    125,698x = 264,322 × 264,322
  4. Step 4: Simplify right side
    125,698x = 69,866,119,684
  5. Step 5: Solve for x
    x = 69,866,119,684/125,698
  6. Step 6: Final answer
    x = 555,825.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.