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Finding the Third Proportional to 233,933.06 and 334,535.06

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Solution

The third proportional to 233,933.06 and 334,535.06 is: 478,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,933.06 : 334,535.06 = 334,535.06 : x
  2. Step 2: Convert to fraction form
    233,933.06/334,535.06 = 334,535.06/x
  3. Step 3: Cross multiply
    233,933.06x = 334,535.06 × 334,535.06
  4. Step 4: Simplify right side
    233,933.06x = 111,913,708,041.88
  5. Step 5: Solve for x
    x = 111,913,708,041.88/233,933.06
  6. Step 6: Final answer
    x = 478,400.56

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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.