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Finding the Third Proportional to 170,432 and 233,778

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Solution

The third proportional to 170,432 and 233,778 is: 320,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,432 : 233,778 = 233,778 : x
  2. Step 2: Convert to fraction form
    170,432/233,778 = 233,778/x
  3. Step 3: Cross multiply
    170,432x = 233,778 × 233,778
  4. Step 4: Simplify right side
    170,432x = 54,652,153,284
  5. Step 5: Solve for x
    x = 54,652,153,284/170,432
  6. Step 6: Final answer
    x = 320,668.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.