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Finding the Third Proportional to 234,023.50 and 334,411

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Solution

The third proportional to 234,023.50 and 334,411 is: 477,861.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,023.50 : 334,411 = 334,411 : x
  2. Step 2: Convert to fraction form
    234,023.50/334,411 = 334,411/x
  3. Step 3: Cross multiply
    234,023.50x = 334,411 × 334,411
  4. Step 4: Simplify right side
    234,023.50x = 111,830,716,921
  5. Step 5: Solve for x
    x = 111,830,716,921/234,023.50
  6. Step 6: Final answer
    x = 477,861.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.