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Finding the Third Proportional to 70,430 and 153,496

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Solution

The third proportional to 70,430 and 153,496 is: 334,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,430 : 153,496 = 153,496 : x
  2. Step 2: Convert to fraction form
    70,430/153,496 = 153,496/x
  3. Step 3: Cross multiply
    70,430x = 153,496 × 153,496
  4. Step 4: Simplify right side
    70,430x = 23,561,022,016
  5. Step 5: Solve for x
    x = 23,561,022,016/70,430
  6. Step 6: Final answer
    x = 334,531.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.