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Finding the Third Proportional to 125,653 and 270,988

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Solution

The third proportional to 125,653 and 270,988 is: 584,422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,653 : 270,988 = 270,988 : x
  2. Step 2: Convert to fraction form
    125,653/270,988 = 270,988/x
  3. Step 3: Cross multiply
    125,653x = 270,988 × 270,988
  4. Step 4: Simplify right side
    125,653x = 73,434,496,144
  5. Step 5: Solve for x
    x = 73,434,496,144/125,653
  6. Step 6: Final answer
    x = 584,422.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.