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Finding the Third Proportional to 175,202 and 270,582

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Solution

The third proportional to 175,202 and 270,582 is: 417,886.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,202 : 270,582 = 270,582 : x
  2. Step 2: Convert to fraction form
    175,202/270,582 = 270,582/x
  3. Step 3: Cross multiply
    175,202x = 270,582 × 270,582
  4. Step 4: Simplify right side
    175,202x = 73,214,618,724
  5. Step 5: Solve for x
    x = 73,214,618,724/175,202
  6. Step 6: Final answer
    x = 417,886.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.