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Finding the Third Proportional to 182,341.13 and 392,429.81

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Solution

The third proportional to 182,341.13 and 392,429.81 is: 844,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,341.13 : 392,429.81 = 392,429.81 : x
  2. Step 2: Convert to fraction form
    182,341.13/392,429.81 = 392,429.81/x
  3. Step 3: Cross multiply
    182,341.13x = 392,429.81 × 392,429.81
  4. Step 4: Simplify right side
    182,341.13x = 154,001,157,738.79
  5. Step 5: Solve for x
    x = 154,001,157,738.79/182,341.13
  6. Step 6: Final answer
    x = 844,577.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.