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Finding the Third Proportional to 70,357 and 150,554

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Solution

The third proportional to 70,357 and 150,554 is: 322,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,357 : 150,554 = 150,554 : x
  2. Step 2: Convert to fraction form
    70,357/150,554 = 150,554/x
  3. Step 3: Cross multiply
    70,357x = 150,554 × 150,554
  4. Step 4: Simplify right side
    70,357x = 22,666,506,916
  5. Step 5: Solve for x
    x = 22,666,506,916/70,357
  6. Step 6: Final answer
    x = 322,164.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.