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Finding the Third Proportional to 153,736 and 325,056

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Solution

The third proportional to 153,736 and 325,056 is: 687,291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,736 : 325,056 = 325,056 : x
  2. Step 2: Convert to fraction form
    153,736/325,056 = 325,056/x
  3. Step 3: Cross multiply
    153,736x = 325,056 × 325,056
  4. Step 4: Simplify right side
    153,736x = 105,661,403,136
  5. Step 5: Solve for x
    x = 105,661,403,136/153,736
  6. Step 6: Final answer
    x = 687,291.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.