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Finding the Third Proportional to 144,078.25 and 316,181.50

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Solution

The third proportional to 144,078.25 and 316,181.50 is: 693,864.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,078.25 : 316,181.50 = 316,181.50 : x
  2. Step 2: Convert to fraction form
    144,078.25/316,181.50 = 316,181.50/x
  3. Step 3: Cross multiply
    144,078.25x = 316,181.50 × 316,181.50
  4. Step 4: Simplify right side
    144,078.25x = 99,970,740,942.25
  5. Step 5: Solve for x
    x = 99,970,740,942.25/144,078.25
  6. Step 6: Final answer
    x = 693,864.21

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.