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Finding the Third Proportional to 158,724 and 216,150

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Solution

The third proportional to 158,724 and 216,150 is: 294,352.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,724 : 216,150 = 216,150 : x
  2. Step 2: Convert to fraction form
    158,724/216,150 = 216,150/x
  3. Step 3: Cross multiply
    158,724x = 216,150 × 216,150
  4. Step 4: Simplify right side
    158,724x = 46,720,822,500
  5. Step 5: Solve for x
    x = 46,720,822,500/158,724
  6. Step 6: Final answer
    x = 294,352.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.