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Finding the Third Proportional to 146,898 and 216,276

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Solution

The third proportional to 146,898 and 216,276 is: 318,420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,898 : 216,276 = 216,276 : x
  2. Step 2: Convert to fraction form
    146,898/216,276 = 216,276/x
  3. Step 3: Cross multiply
    146,898x = 216,276 × 216,276
  4. Step 4: Simplify right side
    146,898x = 46,775,308,176
  5. Step 5: Solve for x
    x = 46,775,308,176/146,898
  6. Step 6: Final answer
    x = 318,420.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.