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Finding the Third Proportional to 183,141.75 and 392,565.75

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Solution

The third proportional to 183,141.75 and 392,565.75 is: 841,467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,141.75 : 392,565.75 = 392,565.75 : x
  2. Step 2: Convert to fraction form
    183,141.75/392,565.75 = 392,565.75/x
  3. Step 3: Cross multiply
    183,141.75x = 392,565.75 × 392,565.75
  4. Step 4: Simplify right side
    183,141.75x = 154,107,868,073.06
  5. Step 5: Solve for x
    x = 154,107,868,073.06/183,141.75
  6. Step 6: Final answer
    x = 841,467.71

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