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Finding the Third Proportional to 74,498 and 157,276

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Solution

The third proportional to 74,498 and 157,276 is: 332,032.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,498 : 157,276 = 157,276 : x
  2. Step 2: Convert to fraction form
    74,498/157,276 = 157,276/x
  3. Step 3: Cross multiply
    74,498x = 157,276 × 157,276
  4. Step 4: Simplify right side
    74,498x = 24,735,740,176
  5. Step 5: Solve for x
    x = 24,735,740,176/74,498
  6. Step 6: Final answer
    x = 332,032.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.