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Finding the Third Proportional to 238,423 and 334,153

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Solution

The third proportional to 238,423 and 334,153 is: 468,319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,423 : 334,153 = 334,153 : x
  2. Step 2: Convert to fraction form
    238,423/334,153 = 334,153/x
  3. Step 3: Cross multiply
    238,423x = 334,153 × 334,153
  4. Step 4: Simplify right side
    238,423x = 111,658,227,409
  5. Step 5: Solve for x
    x = 111,658,227,409/238,423
  6. Step 6: Final answer
    x = 468,319.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.