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Finding the Third Proportional to 186,012 and 413,352

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Solution

The third proportional to 186,012 and 413,352 is: 918,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,012 : 413,352 = 413,352 : x
  2. Step 2: Convert to fraction form
    186,012/413,352 = 413,352/x
  3. Step 3: Cross multiply
    186,012x = 413,352 × 413,352
  4. Step 4: Simplify right side
    186,012x = 170,859,875,904
  5. Step 5: Solve for x
    x = 170,859,875,904/186,012
  6. Step 6: Final answer
    x = 918,542.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.