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Finding the Third Proportional to 180,964 and 250,056

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Solution

The third proportional to 180,964 and 250,056 is: 345,527.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,964 : 250,056 = 250,056 : x
  2. Step 2: Convert to fraction form
    180,964/250,056 = 250,056/x
  3. Step 3: Cross multiply
    180,964x = 250,056 × 250,056
  4. Step 4: Simplify right side
    180,964x = 62,528,003,136
  5. Step 5: Solve for x
    x = 62,528,003,136/180,964
  6. Step 6: Final answer
    x = 345,527.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.