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Finding the Third Proportional to 240,564.50 and 336,323.50

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Solution

The third proportional to 240,564.50 and 336,323.50 is: 470,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,564.50 : 336,323.50 = 336,323.50 : x
  2. Step 2: Convert to fraction form
    240,564.50/336,323.50 = 336,323.50/x
  3. Step 3: Cross multiply
    240,564.50x = 336,323.50 × 336,323.50
  4. Step 4: Simplify right side
    240,564.50x = 113,113,496,652.25
  5. Step 5: Solve for x
    x = 113,113,496,652.25/240,564.50
  6. Step 6: Final answer
    x = 470,200.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.