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Finding the Third Proportional to 86,346 and 186,297.75

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Solution

The third proportional to 86,346 and 186,297.75 is: 401,950.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,346 : 186,297.75 = 186,297.75 : x
  2. Step 2: Convert to fraction form
    86,346/186,297.75 = 186,297.75/x
  3. Step 3: Cross multiply
    86,346x = 186,297.75 × 186,297.75
  4. Step 4: Simplify right side
    86,346x = 34,706,851,655.06
  5. Step 5: Solve for x
    x = 34,706,851,655.06/86,346
  6. Step 6: Final answer
    x = 401,950.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.