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Finding the Third Proportional to 238,407.05 and 334,126.90

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Solution

The third proportional to 238,407.05 and 334,126.90 is: 468,278.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,407.05 : 334,126.90 = 334,126.90 : x
  2. Step 2: Convert to fraction form
    238,407.05/334,126.90 = 334,126.90/x
  3. Step 3: Cross multiply
    238,407.05x = 334,126.90 × 334,126.90
  4. Step 4: Simplify right side
    238,407.05x = 111,640,784,259.46
  5. Step 5: Solve for x
    x = 111,640,784,259.46/238,407.05
  6. Step 6: Final answer
    x = 468,278.04

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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.