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Finding the Third Proportional to 182,559 and 272,319

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Solution

The third proportional to 182,559 and 272,319 is: 406,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,559 : 272,319 = 272,319 : x
  2. Step 2: Convert to fraction form
    182,559/272,319 = 272,319/x
  3. Step 3: Cross multiply
    182,559x = 272,319 × 272,319
  4. Step 4: Simplify right side
    182,559x = 74,157,637,761
  5. Step 5: Solve for x
    x = 74,157,637,761/182,559
  6. Step 6: Final answer
    x = 406,211.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.