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Finding the Third Proportional to 186,365 and 248,297.50

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Solution

The third proportional to 186,365 and 248,297.50 is: 330,811.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,365 : 248,297.50 = 248,297.50 : x
  2. Step 2: Convert to fraction form
    186,365/248,297.50 = 248,297.50/x
  3. Step 3: Cross multiply
    186,365x = 248,297.50 × 248,297.50
  4. Step 4: Simplify right side
    186,365x = 61,651,648,506.25
  5. Step 5: Solve for x
    x = 61,651,648,506.25/186,365
  6. Step 6: Final answer
    x = 330,811.30

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.