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Finding the Third Proportional to 158,476 and 351,944

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Solution

The third proportional to 158,476 and 351,944 is: 781,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,476 : 351,944 = 351,944 : x
  2. Step 2: Convert to fraction form
    158,476/351,944 = 351,944/x
  3. Step 3: Cross multiply
    158,476x = 351,944 × 351,944
  4. Step 4: Simplify right side
    158,476x = 123,864,579,136
  5. Step 5: Solve for x
    x = 123,864,579,136/158,476
  6. Step 6: Final answer
    x = 781,598.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.