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Finding the Third Proportional to 181,683 and 278,880.19

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Solution

The third proportional to 181,683 and 278,880.19 is: 428,076.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,683 : 278,880.19 = 278,880.19 : x
  2. Step 2: Convert to fraction form
    181,683/278,880.19 = 278,880.19/x
  3. Step 3: Cross multiply
    181,683x = 278,880.19 × 278,880.19
  4. Step 4: Simplify right side
    181,683x = 77,774,158,980.04
  5. Step 5: Solve for x
    x = 77,774,158,980.04/181,683
  6. Step 6: Final answer
    x = 428,076.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.