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Finding the Third Proportional to 191,315.75 and 417,078.50

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Solution

The third proportional to 191,315.75 and 417,078.50 is: 909,253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,315.75 : 417,078.50 = 417,078.50 : x
  2. Step 2: Convert to fraction form
    191,315.75/417,078.50 = 417,078.50/x
  3. Step 3: Cross multiply
    191,315.75x = 417,078.50 × 417,078.50
  4. Step 4: Simplify right side
    191,315.75x = 173,954,475,162.25
  5. Step 5: Solve for x
    x = 173,954,475,162.25/191,315.75
  6. Step 6: Final answer
    x = 909,253.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.