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Finding the Third Proportional to 70,182 and 153,486

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Solution

The third proportional to 70,182 and 153,486 is: 335,669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,182 : 153,486 = 153,486 : x
  2. Step 2: Convert to fraction form
    70,182/153,486 = 153,486/x
  3. Step 3: Cross multiply
    70,182x = 153,486 × 153,486
  4. Step 4: Simplify right side
    70,182x = 23,557,952,196
  5. Step 5: Solve for x
    x = 23,557,952,196/70,182
  6. Step 6: Final answer
    x = 335,669.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.