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Finding the Third Proportional to 118,199 and 253,008

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Solution

The third proportional to 118,199 and 253,008 is: 541,570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,199 : 253,008 = 253,008 : x
  2. Step 2: Convert to fraction form
    118,199/253,008 = 253,008/x
  3. Step 3: Cross multiply
    118,199x = 253,008 × 253,008
  4. Step 4: Simplify right side
    118,199x = 64,013,048,064
  5. Step 5: Solve for x
    x = 64,013,048,064/118,199
  6. Step 6: Final answer
    x = 541,570.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.