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Finding the Third Proportional to 122,232 and 270,709

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Solution

The third proportional to 122,232 and 270,709 is: 599,543.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,232 : 270,709 = 270,709 : x
  2. Step 2: Convert to fraction form
    122,232/270,709 = 270,709/x
  3. Step 3: Cross multiply
    122,232x = 270,709 × 270,709
  4. Step 4: Simplify right side
    122,232x = 73,283,362,681
  5. Step 5: Solve for x
    x = 73,283,362,681/122,232
  6. Step 6: Final answer
    x = 599,543.19

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.