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Finding the Third Proportional to 186,538.57 and 399,693.23

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Solution

The third proportional to 186,538.57 and 399,693.23 is: 856,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,538.57 : 399,693.23 = 399,693.23 : x
  2. Step 2: Convert to fraction form
    186,538.57/399,693.23 = 399,693.23/x
  3. Step 3: Cross multiply
    186,538.57x = 399,693.23 × 399,693.23
  4. Step 4: Simplify right side
    186,538.57x = 159,754,681,605.15
  5. Step 5: Solve for x
    x = 159,754,681,605.15/186,538.57
  6. Step 6: Final answer
    x = 856,416.35

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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.