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Finding the Third Proportional to 114,655 and 250,135

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Solution

The third proportional to 114,655 and 250,135 is: 545,702.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,655 : 250,135 = 250,135 : x
  2. Step 2: Convert to fraction form
    114,655/250,135 = 250,135/x
  3. Step 3: Cross multiply
    114,655x = 250,135 × 250,135
  4. Step 4: Simplify right side
    114,655x = 62,567,518,225
  5. Step 5: Solve for x
    x = 62,567,518,225/114,655
  6. Step 6: Final answer
    x = 545,702.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.