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Finding the Third Proportional to 75,308 and 156,853

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Solution

The third proportional to 75,308 and 156,853 is: 326,696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,308 : 156,853 = 156,853 : x
  2. Step 2: Convert to fraction form
    75,308/156,853 = 156,853/x
  3. Step 3: Cross multiply
    75,308x = 156,853 × 156,853
  4. Step 4: Simplify right side
    75,308x = 24,602,863,609
  5. Step 5: Solve for x
    x = 24,602,863,609/75,308
  6. Step 6: Final answer
    x = 326,696.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.