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Finding the Third Proportional to 121,984 and 264,328

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Solution

The third proportional to 121,984 and 264,328 is: 572,774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,984 : 264,328 = 264,328 : x
  2. Step 2: Convert to fraction form
    121,984/264,328 = 264,328/x
  3. Step 3: Cross multiply
    121,984x = 264,328 × 264,328
  4. Step 4: Simplify right side
    121,984x = 69,869,291,584
  5. Step 5: Solve for x
    x = 69,869,291,584/121,984
  6. Step 6: Final answer
    x = 572,774.23

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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.