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Finding the Third Proportional to 238,873 and 361,397.50

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Solution

The third proportional to 238,873 and 361,397.50 is: 546,768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,873 : 361,397.50 = 361,397.50 : x
  2. Step 2: Convert to fraction form
    238,873/361,397.50 = 361,397.50/x
  3. Step 3: Cross multiply
    238,873x = 361,397.50 × 361,397.50
  4. Step 4: Simplify right side
    238,873x = 130,608,153,006.25
  5. Step 5: Solve for x
    x = 130,608,153,006.25/238,873
  6. Step 6: Final answer
    x = 546,768.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.