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Finding the Third Proportional to 153,848.25 and 323,244

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Solution

The third proportional to 153,848.25 and 323,244 is: 679,154.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,848.25 : 323,244 = 323,244 : x
  2. Step 2: Convert to fraction form
    153,848.25/323,244 = 323,244/x
  3. Step 3: Cross multiply
    153,848.25x = 323,244 × 323,244
  4. Step 4: Simplify right side
    153,848.25x = 104,486,683,536
  5. Step 5: Solve for x
    x = 104,486,683,536/153,848.25
  6. Step 6: Final answer
    x = 679,154.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.