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Finding the Third Proportional to 186,472 and 409,235

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Solution

The third proportional to 186,472 and 409,235 is: 898,114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,472 : 409,235 = 409,235 : x
  2. Step 2: Convert to fraction form
    186,472/409,235 = 409,235/x
  3. Step 3: Cross multiply
    186,472x = 409,235 × 409,235
  4. Step 4: Simplify right side
    186,472x = 167,473,285,225
  5. Step 5: Solve for x
    x = 167,473,285,225/186,472
  6. Step 6: Final answer
    x = 898,114.92

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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.