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Finding the Third Proportional to 175,858 and 272,710

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Solution

The third proportional to 175,858 and 272,710 is: 422,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,858 : 272,710 = 272,710 : x
  2. Step 2: Convert to fraction form
    175,858/272,710 = 272,710/x
  3. Step 3: Cross multiply
    175,858x = 272,710 × 272,710
  4. Step 4: Simplify right side
    175,858x = 74,370,744,100
  5. Step 5: Solve for x
    x = 74,370,744,100/175,858
  6. Step 6: Final answer
    x = 422,902.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.