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Finding the Third Proportional to 157,735 and 341,700

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Solution

The third proportional to 157,735 and 341,700 is: 740,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,735 : 341,700 = 341,700 : x
  2. Step 2: Convert to fraction form
    157,735/341,700 = 341,700/x
  3. Step 3: Cross multiply
    157,735x = 341,700 × 341,700
  4. Step 4: Simplify right side
    157,735x = 116,758,890,000
  5. Step 5: Solve for x
    x = 116,758,890,000/157,735
  6. Step 6: Final answer
    x = 740,221.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.