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Finding the Third Proportional to 186,787.13 and 412,822.13

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Solution

The third proportional to 186,787.13 and 412,822.13 is: 912,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,787.13 : 412,822.13 = 412,822.13 : x
  2. Step 2: Convert to fraction form
    186,787.13/412,822.13 = 412,822.13/x
  3. Step 3: Cross multiply
    186,787.13x = 412,822.13 × 412,822.13
  4. Step 4: Simplify right side
    186,787.13x = 170,422,106,889.52
  5. Step 5: Solve for x
    x = 170,422,106,889.52/186,787.13
  6. Step 6: Final answer
    x = 912,386.80

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.