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Finding the Third Proportional to 186,354 and 248,283

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Solution

The third proportional to 186,354 and 248,283 is: 330,792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,354 : 248,283 = 248,283 : x
  2. Step 2: Convert to fraction form
    186,354/248,283 = 248,283/x
  3. Step 3: Cross multiply
    186,354x = 248,283 × 248,283
  4. Step 4: Simplify right side
    186,354x = 61,644,448,089
  5. Step 5: Solve for x
    x = 61,644,448,089/186,354
  6. Step 6: Final answer
    x = 330,792.19

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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.