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Finding the Third Proportional to 114,475 and 250,820

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Solution

The third proportional to 114,475 and 250,820 is: 549,558.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,475 : 250,820 = 250,820 : x
  2. Step 2: Convert to fraction form
    114,475/250,820 = 250,820/x
  3. Step 3: Cross multiply
    114,475x = 250,820 × 250,820
  4. Step 4: Simplify right side
    114,475x = 62,910,672,400
  5. Step 5: Solve for x
    x = 62,910,672,400/114,475
  6. Step 6: Final answer
    x = 549,558.18

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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.