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Finding the Third Proportional to 241,432 and 382,211.50

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Solution

The third proportional to 241,432 and 382,211.50 is: 605,079.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,432 : 382,211.50 = 382,211.50 : x
  2. Step 2: Convert to fraction form
    241,432/382,211.50 = 382,211.50/x
  3. Step 3: Cross multiply
    241,432x = 382,211.50 × 382,211.50
  4. Step 4: Simplify right side
    241,432x = 146,085,630,732.25
  5. Step 5: Solve for x
    x = 146,085,630,732.25/241,432
  6. Step 6: Final answer
    x = 605,079.82

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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.