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Finding the Third Proportional to 215,432 and 460,188

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Solution

The third proportional to 215,432 and 460,188 is: 983,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,432 : 460,188 = 460,188 : x
  2. Step 2: Convert to fraction form
    215,432/460,188 = 460,188/x
  3. Step 3: Cross multiply
    215,432x = 460,188 × 460,188
  4. Step 4: Simplify right side
    215,432x = 211,772,995,344
  5. Step 5: Solve for x
    x = 211,772,995,344/215,432
  6. Step 6: Final answer
    x = 983,015.50

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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.