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Finding the Third Proportional to 145,141 and 219,898

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Solution

The third proportional to 145,141 and 219,898 is: 333,159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,141 : 219,898 = 219,898 : x
  2. Step 2: Convert to fraction form
    145,141/219,898 = 219,898/x
  3. Step 3: Cross multiply
    145,141x = 219,898 × 219,898
  4. Step 4: Simplify right side
    145,141x = 48,355,130,404
  5. Step 5: Solve for x
    x = 48,355,130,404/145,141
  6. Step 6: Final answer
    x = 333,159.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.