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Finding the Third Proportional to 124,254 and 270,576

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Solution

The third proportional to 124,254 and 270,576 is: 589,207.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,254 : 270,576 = 270,576 : x
  2. Step 2: Convert to fraction form
    124,254/270,576 = 270,576/x
  3. Step 3: Cross multiply
    124,254x = 270,576 × 270,576
  4. Step 4: Simplify right side
    124,254x = 73,211,371,776
  5. Step 5: Solve for x
    x = 73,211,371,776/124,254
  6. Step 6: Final answer
    x = 589,207.36

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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.