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Finding the Third Proportional to 182,565 and 272,859.75

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Solution

The third proportional to 182,565 and 272,859.75 is: 407,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,565 : 272,859.75 = 272,859.75 : x
  2. Step 2: Convert to fraction form
    182,565/272,859.75 = 272,859.75/x
  3. Step 3: Cross multiply
    182,565x = 272,859.75 × 272,859.75
  4. Step 4: Simplify right side
    182,565x = 74,452,443,170.06
  5. Step 5: Solve for x
    x = 74,452,443,170.06/182,565
  6. Step 6: Final answer
    x = 407,813.34

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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.