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Finding the Third Proportional to 186,851.81 and 438,664.36

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Solution

The third proportional to 186,851.81 and 438,664.36 is: 1,029,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,851.81 : 438,664.36 = 438,664.36 : x
  2. Step 2: Convert to fraction form
    186,851.81/438,664.36 = 438,664.36/x
  3. Step 3: Cross multiply
    186,851.81x = 438,664.36 × 438,664.36
  4. Step 4: Simplify right side
    186,851.81x = 192,426,420,185.88
  5. Step 5: Solve for x
    x = 192,426,420,185.88/186,851.81
  6. Step 6: Final answer
    x = 1,029,834.38

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.