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Finding the Third Proportional to 234,960.75 and 314,158.50

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Solution

The third proportional to 234,960.75 and 314,158.50 is: 420,051.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,960.75 : 314,158.50 = 314,158.50 : x
  2. Step 2: Convert to fraction form
    234,960.75/314,158.50 = 314,158.50/x
  3. Step 3: Cross multiply
    234,960.75x = 314,158.50 × 314,158.50
  4. Step 4: Simplify right side
    234,960.75x = 98,695,563,122.25
  5. Step 5: Solve for x
    x = 98,695,563,122.25/234,960.75
  6. Step 6: Final answer
    x = 420,051.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.