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Finding the Third Proportional to 182,454 and 272,946

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Solution

The third proportional to 182,454 and 272,946 is: 408,319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,454 : 272,946 = 272,946 : x
  2. Step 2: Convert to fraction form
    182,454/272,946 = 272,946/x
  3. Step 3: Cross multiply
    182,454x = 272,946 × 272,946
  4. Step 4: Simplify right side
    182,454x = 74,499,518,916
  5. Step 5: Solve for x
    x = 74,499,518,916/182,454
  6. Step 6: Final answer
    x = 408,319.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.