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Finding the Third Proportional to 112,829 and 240,146

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Solution

The third proportional to 112,829 and 240,146 is: 511,128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,829 : 240,146 = 240,146 : x
  2. Step 2: Convert to fraction form
    112,829/240,146 = 240,146/x
  3. Step 3: Cross multiply
    112,829x = 240,146 × 240,146
  4. Step 4: Simplify right side
    112,829x = 57,670,101,316
  5. Step 5: Solve for x
    x = 57,670,101,316/112,829
  6. Step 6: Final answer
    x = 511,128.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.