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Finding the Third Proportional to 169,560 and 362,304

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Solution

The third proportional to 169,560 and 362,304 is: 774,145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,560 : 362,304 = 362,304 : x
  2. Step 2: Convert to fraction form
    169,560/362,304 = 362,304/x
  3. Step 3: Cross multiply
    169,560x = 362,304 × 362,304
  4. Step 4: Simplify right side
    169,560x = 131,264,188,416
  5. Step 5: Solve for x
    x = 131,264,188,416/169,560
  6. Step 6: Final answer
    x = 774,145.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.