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Finding the Third Proportional to 182,425.75 and 391,824.25

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Solution

The third proportional to 182,425.75 and 391,824.25 is: 841,582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,425.75 : 391,824.25 = 391,824.25 : x
  2. Step 2: Convert to fraction form
    182,425.75/391,824.25 = 391,824.25/x
  3. Step 3: Cross multiply
    182,425.75x = 391,824.25 × 391,824.25
  4. Step 4: Simplify right side
    182,425.75x = 153,526,242,888.06
  5. Step 5: Solve for x
    x = 153,526,242,888.06/182,425.75
  6. Step 6: Final answer
    x = 841,582.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.