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Finding the Third Proportional to 66,496 and 153,952

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Solution

The third proportional to 66,496 and 153,952 is: 356,430.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,496 : 153,952 = 153,952 : x
  2. Step 2: Convert to fraction form
    66,496/153,952 = 153,952/x
  3. Step 3: Cross multiply
    66,496x = 153,952 × 153,952
  4. Step 4: Simplify right side
    66,496x = 23,701,218,304
  5. Step 5: Solve for x
    x = 23,701,218,304/66,496
  6. Step 6: Final answer
    x = 356,430.74

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.