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Finding the Third Proportional to 182,457 and 290,550

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Solution

The third proportional to 182,457 and 290,550 is: 462,680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,457 : 290,550 = 290,550 : x
  2. Step 2: Convert to fraction form
    182,457/290,550 = 290,550/x
  3. Step 3: Cross multiply
    182,457x = 290,550 × 290,550
  4. Step 4: Simplify right side
    182,457x = 84,419,302,500
  5. Step 5: Solve for x
    x = 84,419,302,500/182,457
  6. Step 6: Final answer
    x = 462,680.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.