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Finding the Third Proportional to 141,176 and 310,342

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Solution

The third proportional to 141,176 and 310,342 is: 682,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,176 : 310,342 = 310,342 : x
  2. Step 2: Convert to fraction form
    141,176/310,342 = 310,342/x
  3. Step 3: Cross multiply
    141,176x = 310,342 × 310,342
  4. Step 4: Simplify right side
    141,176x = 96,312,156,964
  5. Step 5: Solve for x
    x = 96,312,156,964/141,176
  6. Step 6: Final answer
    x = 682,213.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.