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Finding the Third Proportional to 154,461 and 360,865

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Solution

The third proportional to 154,461 and 360,865 is: 843,083.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,461 : 360,865 = 360,865 : x
  2. Step 2: Convert to fraction form
    154,461/360,865 = 360,865/x
  3. Step 3: Cross multiply
    154,461x = 360,865 × 360,865
  4. Step 4: Simplify right side
    154,461x = 130,223,548,225
  5. Step 5: Solve for x
    x = 130,223,548,225/154,461
  6. Step 6: Final answer
    x = 843,083.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.