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Finding the Third Proportional to 153,184 and 324,032

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Solution

The third proportional to 153,184 and 324,032 is: 685,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,184 : 324,032 = 324,032 : x
  2. Step 2: Convert to fraction form
    153,184/324,032 = 324,032/x
  3. Step 3: Cross multiply
    153,184x = 324,032 × 324,032
  4. Step 4: Simplify right side
    153,184x = 104,996,737,024
  5. Step 5: Solve for x
    x = 104,996,737,024/153,184
  6. Step 6: Final answer
    x = 685,428.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.