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Finding the Third Proportional to 114,528 and 251,115

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Solution

The third proportional to 114,528 and 251,115 is: 550,596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,528 : 251,115 = 251,115 : x
  2. Step 2: Convert to fraction form
    114,528/251,115 = 251,115/x
  3. Step 3: Cross multiply
    114,528x = 251,115 × 251,115
  4. Step 4: Simplify right side
    114,528x = 63,058,743,225
  5. Step 5: Solve for x
    x = 63,058,743,225/114,528
  6. Step 6: Final answer
    x = 550,596.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.