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Finding the Third Proportional to 65,534.34 and 143,334.28

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Solution

The third proportional to 65,534.34 and 143,334.28 is: 313,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,534.34 : 143,334.28 = 143,334.28 : x
  2. Step 2: Convert to fraction form
    65,534.34/143,334.28 = 143,334.28/x
  3. Step 3: Cross multiply
    65,534.34x = 143,334.28 × 143,334.28
  4. Step 4: Simplify right side
    65,534.34x = 20,544,716,181.45
  5. Step 5: Solve for x
    x = 20,544,716,181.45/65,534.34
  6. Step 6: Final answer
    x = 313,495.41

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Why These Related Problems?

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