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Finding the Third Proportional to 121,036 and 256,465

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Solution

The third proportional to 121,036 and 256,465 is: 543,427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,036 : 256,465 = 256,465 : x
  2. Step 2: Convert to fraction form
    121,036/256,465 = 256,465/x
  3. Step 3: Cross multiply
    121,036x = 256,465 × 256,465
  4. Step 4: Simplify right side
    121,036x = 65,774,296,225
  5. Step 5: Solve for x
    x = 65,774,296,225/121,036
  6. Step 6: Final answer
    x = 543,427.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.