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Finding the Third Proportional to 170,125.50 and 251,308.50

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Solution

The third proportional to 170,125.50 and 251,308.50 is: 371,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,125.50 : 251,308.50 = 251,308.50 : x
  2. Step 2: Convert to fraction form
    170,125.50/251,308.50 = 251,308.50/x
  3. Step 3: Cross multiply
    170,125.50x = 251,308.50 × 251,308.50
  4. Step 4: Simplify right side
    170,125.50x = 63,155,962,172.25
  5. Step 5: Solve for x
    x = 63,155,962,172.25/170,125.50
  6. Step 6: Final answer
    x = 371,231.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.