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Finding the Third Proportional to 70,600 and 155,023

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Solution

The third proportional to 70,600 and 155,023 is: 340,398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,600 : 155,023 = 155,023 : x
  2. Step 2: Convert to fraction form
    70,600/155,023 = 155,023/x
  3. Step 3: Cross multiply
    70,600x = 155,023 × 155,023
  4. Step 4: Simplify right side
    70,600x = 24,032,130,529
  5. Step 5: Solve for x
    x = 24,032,130,529/70,600
  6. Step 6: Final answer
    x = 340,398.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.