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Finding the Third Proportional to 175,216 and 380,024

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Solution

The third proportional to 175,216 and 380,024 is: 824,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,216 : 380,024 = 380,024 : x
  2. Step 2: Convert to fraction form
    175,216/380,024 = 380,024/x
  3. Step 3: Cross multiply
    175,216x = 380,024 × 380,024
  4. Step 4: Simplify right side
    175,216x = 144,418,240,576
  5. Step 5: Solve for x
    x = 144,418,240,576/175,216
  6. Step 6: Final answer
    x = 824,229.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.