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Finding the Third Proportional to 241,154 and 354,760

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Solution

The third proportional to 241,154 and 354,760 is: 521,885.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,154 : 354,760 = 354,760 : x
  2. Step 2: Convert to fraction form
    241,154/354,760 = 354,760/x
  3. Step 3: Cross multiply
    241,154x = 354,760 × 354,760
  4. Step 4: Simplify right side
    241,154x = 125,854,657,600
  5. Step 5: Solve for x
    x = 125,854,657,600/241,154
  6. Step 6: Final answer
    x = 521,885.01

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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.