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Finding the Third Proportional to 234,832.50 and 314,597.25

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Solution

The third proportional to 234,832.50 and 314,597.25 is: 421,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,832.50 : 314,597.25 = 314,597.25 : x
  2. Step 2: Convert to fraction form
    234,832.50/314,597.25 = 314,597.25/x
  3. Step 3: Cross multiply
    234,832.50x = 314,597.25 × 314,597.25
  4. Step 4: Simplify right side
    234,832.50x = 98,971,429,707.56
  5. Step 5: Solve for x
    x = 98,971,429,707.56/234,832.50
  6. Step 6: Final answer
    x = 421,455.42

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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.