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Finding the Third Proportional to 186,831.56 and 409,576.50

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Solution

The third proportional to 186,831.56 and 409,576.50 is: 897,883.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,831.56 : 409,576.50 = 409,576.50 : x
  2. Step 2: Convert to fraction form
    186,831.56/409,576.50 = 409,576.50/x
  3. Step 3: Cross multiply
    186,831.56x = 409,576.50 × 409,576.50
  4. Step 4: Simplify right side
    186,831.56x = 167,752,909,352.25
  5. Step 5: Solve for x
    x = 167,752,909,352.25/186,831.56
  6. Step 6: Final answer
    x = 897,883.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.