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Finding the Third Proportional to 145,324 and 221,753

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Solution

The third proportional to 145,324 and 221,753 is: 338,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,324 : 221,753 = 221,753 : x
  2. Step 2: Convert to fraction form
    145,324/221,753 = 221,753/x
  3. Step 3: Cross multiply
    145,324x = 221,753 × 221,753
  4. Step 4: Simplify right side
    145,324x = 49,174,393,009
  5. Step 5: Solve for x
    x = 49,174,393,009/145,324
  6. Step 6: Final answer
    x = 338,377.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.