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Finding the Third Proportional to 186,549.75 and 399,718.13

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Solution

The third proportional to 186,549.75 and 399,718.13 is: 856,471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,549.75 : 399,718.13 = 399,718.13 : x
  2. Step 2: Convert to fraction form
    186,549.75/399,718.13 = 399,718.13/x
  3. Step 3: Cross multiply
    186,549.75x = 399,718.13 × 399,718.13
  4. Step 4: Simplify right side
    186,549.75x = 159,774,579,453.52
  5. Step 5: Solve for x
    x = 159,774,579,453.52/186,549.75
  6. Step 6: Final answer
    x = 856,471.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.