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Finding the Third Proportional to 155,437 and 233,732

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Solution

The third proportional to 155,437 and 233,732 is: 351,464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,437 : 233,732 = 233,732 : x
  2. Step 2: Convert to fraction form
    155,437/233,732 = 233,732/x
  3. Step 3: Cross multiply
    155,437x = 233,732 × 233,732
  4. Step 4: Simplify right side
    155,437x = 54,630,647,824
  5. Step 5: Solve for x
    x = 54,630,647,824/155,437
  6. Step 6: Final answer
    x = 351,464.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.