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Finding the Third Proportional to 170,496 and 369,984

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Solution

The third proportional to 170,496 and 369,984 is: 802,881.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,496 : 369,984 = 369,984 : x
  2. Step 2: Convert to fraction form
    170,496/369,984 = 369,984/x
  3. Step 3: Cross multiply
    170,496x = 369,984 × 369,984
  4. Step 4: Simplify right side
    170,496x = 136,888,160,256
  5. Step 5: Solve for x
    x = 136,888,160,256/170,496
  6. Step 6: Final answer
    x = 802,881.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.