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Finding the Third Proportional to 183,079.50 and 385,842

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Solution

The third proportional to 183,079.50 and 385,842 is: 813,166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,079.50 : 385,842 = 385,842 : x
  2. Step 2: Convert to fraction form
    183,079.50/385,842 = 385,842/x
  3. Step 3: Cross multiply
    183,079.50x = 385,842 × 385,842
  4. Step 4: Simplify right side
    183,079.50x = 148,874,048,964
  5. Step 5: Solve for x
    x = 148,874,048,964/183,079.50
  6. Step 6: Final answer
    x = 813,166.13

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.