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Finding the Third Proportional to 168,972 and 358,584

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Solution

The third proportional to 168,972 and 358,584 is: 760,969.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,972 : 358,584 = 358,584 : x
  2. Step 2: Convert to fraction form
    168,972/358,584 = 358,584/x
  3. Step 3: Cross multiply
    168,972x = 358,584 × 358,584
  4. Step 4: Simplify right side
    168,972x = 128,582,485,056
  5. Step 5: Solve for x
    x = 128,582,485,056/168,972
  6. Step 6: Final answer
    x = 760,969.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.