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Finding the Third Proportional to 248,881.50 and 382,765.50

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Solution

The third proportional to 248,881.50 and 382,765.50 is: 588,671.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,881.50 : 382,765.50 = 382,765.50 : x
  2. Step 2: Convert to fraction form
    248,881.50/382,765.50 = 382,765.50/x
  3. Step 3: Cross multiply
    248,881.50x = 382,765.50 × 382,765.50
  4. Step 4: Simplify right side
    248,881.50x = 146,509,427,990.25
  5. Step 5: Solve for x
    x = 146,509,427,990.25/248,881.50
  6. Step 6: Final answer
    x = 588,671.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.