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Finding the Third Proportional to 144,294 and 221,913

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Solution

The third proportional to 144,294 and 221,913 is: 341,285.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,294 : 221,913 = 221,913 : x
  2. Step 2: Convert to fraction form
    144,294/221,913 = 221,913/x
  3. Step 3: Cross multiply
    144,294x = 221,913 × 221,913
  4. Step 4: Simplify right side
    144,294x = 49,245,379,569
  5. Step 5: Solve for x
    x = 49,245,379,569/144,294
  6. Step 6: Final answer
    x = 341,285.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.