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Finding the Third Proportional to 160,968.50 and 256,228.50

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Solution

The third proportional to 160,968.50 and 256,228.50 is: 407,862.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,968.50 : 256,228.50 = 256,228.50 : x
  2. Step 2: Convert to fraction form
    160,968.50/256,228.50 = 256,228.50/x
  3. Step 3: Cross multiply
    160,968.50x = 256,228.50 × 256,228.50
  4. Step 4: Simplify right side
    160,968.50x = 65,653,044,212.25
  5. Step 5: Solve for x
    x = 65,653,044,212.25/160,968.50
  6. Step 6: Final answer
    x = 407,862.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.