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Finding the Third Proportional to 235,616 and 375,280

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Solution

The third proportional to 235,616 and 375,280 is: 597,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,616 : 375,280 = 375,280 : x
  2. Step 2: Convert to fraction form
    235,616/375,280 = 375,280/x
  3. Step 3: Cross multiply
    235,616x = 375,280 × 375,280
  4. Step 4: Simplify right side
    235,616x = 140,835,078,400
  5. Step 5: Solve for x
    x = 140,835,078,400/235,616
  6. Step 6: Final answer
    x = 597,731.39

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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.