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Finding the Third Proportional to 114,768 and 269,952

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Solution

The third proportional to 114,768 and 269,952 is: 634,968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,768 : 269,952 = 269,952 : x
  2. Step 2: Convert to fraction form
    114,768/269,952 = 269,952/x
  3. Step 3: Cross multiply
    114,768x = 269,952 × 269,952
  4. Step 4: Simplify right side
    114,768x = 72,874,082,304
  5. Step 5: Solve for x
    x = 72,874,082,304/114,768
  6. Step 6: Final answer
    x = 634,968.65

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.