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Finding the Third Proportional to 186,324 and 404,160

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Solution

The third proportional to 186,324 and 404,160 is: 876,673.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,324 : 404,160 = 404,160 : x
  2. Step 2: Convert to fraction form
    186,324/404,160 = 404,160/x
  3. Step 3: Cross multiply
    186,324x = 404,160 × 404,160
  4. Step 4: Simplify right side
    186,324x = 163,345,305,600
  5. Step 5: Solve for x
    x = 163,345,305,600/186,324
  6. Step 6: Final answer
    x = 876,673.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.