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Finding the Third Proportional to 121,254 and 264,534

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Solution

The third proportional to 121,254 and 264,534 is: 577,121.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,254 : 264,534 = 264,534 : x
  2. Step 2: Convert to fraction form
    121,254/264,534 = 264,534/x
  3. Step 3: Cross multiply
    121,254x = 264,534 × 264,534
  4. Step 4: Simplify right side
    121,254x = 69,978,237,156
  5. Step 5: Solve for x
    x = 69,978,237,156/121,254
  6. Step 6: Final answer
    x = 577,121.06

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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.