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Finding the Third Proportional to 121,566 and 264,411

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Solution

The third proportional to 121,566 and 264,411 is: 575,104.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,566 : 264,411 = 264,411 : x
  2. Step 2: Convert to fraction form
    121,566/264,411 = 264,411/x
  3. Step 3: Cross multiply
    121,566x = 264,411 × 264,411
  4. Step 4: Simplify right side
    121,566x = 69,913,176,921
  5. Step 5: Solve for x
    x = 69,913,176,921/121,566
  6. Step 6: Final answer
    x = 575,104.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.