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Finding the Third Proportional to 186,766.88 and 412,783.88

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Solution

The third proportional to 186,766.88 and 412,783.88 is: 912,316.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,766.88 : 412,783.88 = 412,783.88 : x
  2. Step 2: Convert to fraction form
    186,766.88/412,783.88 = 412,783.88/x
  3. Step 3: Cross multiply
    186,766.88x = 412,783.88 × 412,783.88
  4. Step 4: Simplify right side
    186,766.88x = 170,390,527,460.02
  5. Step 5: Solve for x
    x = 170,390,527,460.02/186,766.88
  6. Step 6: Final answer
    x = 912,316.64

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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.