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Finding the Third Proportional to 124,232 and 268,240

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Solution

The third proportional to 124,232 and 268,240 is: 579,180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,232 : 268,240 = 268,240 : x
  2. Step 2: Convert to fraction form
    124,232/268,240 = 268,240/x
  3. Step 3: Cross multiply
    124,232x = 268,240 × 268,240
  4. Step 4: Simplify right side
    124,232x = 71,952,697,600
  5. Step 5: Solve for x
    x = 71,952,697,600/124,232
  6. Step 6: Final answer
    x = 579,180.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.