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Finding the Third Proportional to 114,833 and 253,480

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Solution

The third proportional to 114,833 and 253,480 is: 559,526.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,833 : 253,480 = 253,480 : x
  2. Step 2: Convert to fraction form
    114,833/253,480 = 253,480/x
  3. Step 3: Cross multiply
    114,833x = 253,480 × 253,480
  4. Step 4: Simplify right side
    114,833x = 64,252,110,400
  5. Step 5: Solve for x
    x = 64,252,110,400/114,833
  6. Step 6: Final answer
    x = 559,526.53

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.