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Finding the Third Proportional to 169,608 and 382,484

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Solution

The third proportional to 169,608 and 382,484 is: 862,541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,608 : 382,484 = 382,484 : x
  2. Step 2: Convert to fraction form
    169,608/382,484 = 382,484/x
  3. Step 3: Cross multiply
    169,608x = 382,484 × 382,484
  4. Step 4: Simplify right side
    169,608x = 146,294,010,256
  5. Step 5: Solve for x
    x = 146,294,010,256/169,608
  6. Step 6: Final answer
    x = 862,541.92

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.