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Finding the Third Proportional to 235,136 and 354,824

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Solution

The third proportional to 235,136 and 354,824 is: 535,435.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,136 : 354,824 = 354,824 : x
  2. Step 2: Convert to fraction form
    235,136/354,824 = 354,824/x
  3. Step 3: Cross multiply
    235,136x = 354,824 × 354,824
  4. Step 4: Simplify right side
    235,136x = 125,900,070,976
  5. Step 5: Solve for x
    x = 125,900,070,976/235,136
  6. Step 6: Final answer
    x = 535,435.11

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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.