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Finding the Third Proportional to 123,498 and 190,653

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Solution

The third proportional to 123,498 and 190,653 is: 294,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,498 : 190,653 = 190,653 : x
  2. Step 2: Convert to fraction form
    123,498/190,653 = 190,653/x
  3. Step 3: Cross multiply
    123,498x = 190,653 × 190,653
  4. Step 4: Simplify right side
    123,498x = 36,348,566,409
  5. Step 5: Solve for x
    x = 36,348,566,409/123,498
  6. Step 6: Final answer
    x = 294,325.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.