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Finding the Third Proportional to 241,232.55 and 354,832.10

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Solution

The third proportional to 241,232.55 and 354,832.10 is: 521,927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,232.55 : 354,832.10 = 354,832.10 : x
  2. Step 2: Convert to fraction form
    241,232.55/354,832.10 = 354,832.10/x
  3. Step 3: Cross multiply
    241,232.55x = 354,832.10 × 354,832.10
  4. Step 4: Simplify right side
    241,232.55x = 125,905,820,299.26
  5. Step 5: Solve for x
    x = 125,905,820,299.26/241,232.55
  6. Step 6: Final answer
    x = 521,927.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.