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Finding the Third Proportional to 122,316 and 264,987

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Solution

The third proportional to 122,316 and 264,987 is: 574,071.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,316 : 264,987 = 264,987 : x
  2. Step 2: Convert to fraction form
    122,316/264,987 = 264,987/x
  3. Step 3: Cross multiply
    122,316x = 264,987 × 264,987
  4. Step 4: Simplify right side
    122,316x = 70,218,110,169
  5. Step 5: Solve for x
    x = 70,218,110,169/122,316
  6. Step 6: Final answer
    x = 574,071.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.