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Finding the Third Proportional to 158,225.25 and 322,326

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Solution

The third proportional to 158,225.25 and 322,326 is: 656,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,225.25 : 322,326 = 322,326 : x
  2. Step 2: Convert to fraction form
    158,225.25/322,326 = 322,326/x
  3. Step 3: Cross multiply
    158,225.25x = 322,326 × 322,326
  4. Step 4: Simplify right side
    158,225.25x = 103,894,050,276
  5. Step 5: Solve for x
    x = 103,894,050,276/158,225.25
  6. Step 6: Final answer
    x = 656,621.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.