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Finding the Third Proportional to 241,429.50 and 382,207.50

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Solution

The third proportional to 241,429.50 and 382,207.50 is: 605,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,429.50 : 382,207.50 = 382,207.50 : x
  2. Step 2: Convert to fraction form
    241,429.50/382,207.50 = 382,207.50/x
  3. Step 3: Cross multiply
    241,429.50x = 382,207.50 × 382,207.50
  4. Step 4: Simplify right side
    241,429.50x = 146,082,573,056.25
  5. Step 5: Solve for x
    x = 146,082,573,056.25/241,429.50
  6. Step 6: Final answer
    x = 605,073.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.