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Finding the Third Proportional to 169,350 and 362,046

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Solution

The third proportional to 169,350 and 362,046 is: 774,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,350 : 362,046 = 362,046 : x
  2. Step 2: Convert to fraction form
    169,350/362,046 = 362,046/x
  3. Step 3: Cross multiply
    169,350x = 362,046 × 362,046
  4. Step 4: Simplify right side
    169,350x = 131,077,306,116
  5. Step 5: Solve for x
    x = 131,077,306,116/169,350
  6. Step 6: Final answer
    x = 774,002.40

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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.