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Finding the Third Proportional to 121,226 and 265,024

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Solution

The third proportional to 121,226 and 265,024 is: 579,394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,226 : 265,024 = 265,024 : x
  2. Step 2: Convert to fraction form
    121,226/265,024 = 265,024/x
  3. Step 3: Cross multiply
    121,226x = 265,024 × 265,024
  4. Step 4: Simplify right side
    121,226x = 70,237,720,576
  5. Step 5: Solve for x
    x = 70,237,720,576/121,226
  6. Step 6: Final answer
    x = 579,394.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.