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Finding the Third Proportional to 146,650.50 and 289,048.50

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Solution

The third proportional to 146,650.50 and 289,048.50 is: 569,715.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,650.50 : 289,048.50 = 289,048.50 : x
  2. Step 2: Convert to fraction form
    146,650.50/289,048.50 = 289,048.50/x
  3. Step 3: Cross multiply
    146,650.50x = 289,048.50 × 289,048.50
  4. Step 4: Simplify right side
    146,650.50x = 83,549,035,352.25
  5. Step 5: Solve for x
    x = 83,549,035,352.25/146,650.50
  6. Step 6: Final answer
    x = 569,715.31

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.