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Finding the Third Proportional to 153,756 and 315,166.50

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Solution

The third proportional to 153,756 and 315,166.50 is: 646,023.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,756 : 315,166.50 = 315,166.50 : x
  2. Step 2: Convert to fraction form
    153,756/315,166.50 = 315,166.50/x
  3. Step 3: Cross multiply
    153,756x = 315,166.50 × 315,166.50
  4. Step 4: Simplify right side
    153,756x = 99,329,922,722.25
  5. Step 5: Solve for x
    x = 99,329,922,722.25/153,756
  6. Step 6: Final answer
    x = 646,023.07

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.