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Finding the Third Proportional to 182,384.25 and 291,362.25

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Solution

The third proportional to 182,384.25 and 291,362.25 is: 465,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,384.25 : 291,362.25 = 291,362.25 : x
  2. Step 2: Convert to fraction form
    182,384.25/291,362.25 = 291,362.25/x
  3. Step 3: Cross multiply
    182,384.25x = 291,362.25 × 291,362.25
  4. Step 4: Simplify right side
    182,384.25x = 84,891,960,725.06
  5. Step 5: Solve for x
    x = 84,891,960,725.06/182,384.25
  6. Step 6: Final answer
    x = 465,456.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.