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Finding the Third Proportional to 186,964 and 404,072

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Solution

The third proportional to 186,964 and 404,072 is: 873,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,964 : 404,072 = 404,072 : x
  2. Step 2: Convert to fraction form
    186,964/404,072 = 404,072/x
  3. Step 3: Cross multiply
    186,964x = 404,072 × 404,072
  4. Step 4: Simplify right side
    186,964x = 163,274,181,184
  5. Step 5: Solve for x
    x = 163,274,181,184/186,964
  6. Step 6: Final answer
    x = 873,292.08

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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.