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Finding the Third Proportional to 186,471 and 409,234.50

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Solution

The third proportional to 186,471 and 409,234.50 is: 898,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,471 : 409,234.50 = 409,234.50 : x
  2. Step 2: Convert to fraction form
    186,471/409,234.50 = 409,234.50/x
  3. Step 3: Cross multiply
    186,471x = 409,234.50 × 409,234.50
  4. Step 4: Simplify right side
    186,471x = 167,472,875,990.25
  5. Step 5: Solve for x
    x = 167,472,875,990.25/186,471
  6. Step 6: Final answer
    x = 898,117.54

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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.