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Finding the Third Proportional to 114,082 and 250,276

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Solution

The third proportional to 114,082 and 250,276 is: 549,061.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,082 : 250,276 = 250,276 : x
  2. Step 2: Convert to fraction form
    114,082/250,276 = 250,276/x
  3. Step 3: Cross multiply
    114,082x = 250,276 × 250,276
  4. Step 4: Simplify right side
    114,082x = 62,638,076,176
  5. Step 5: Solve for x
    x = 62,638,076,176/114,082
  6. Step 6: Final answer
    x = 549,061.87

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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.