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Finding the Third Proportional to 157,729.50 and 341,689.50

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Solution

The third proportional to 157,729.50 and 341,689.50 is: 740,202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,729.50 : 341,689.50 = 341,689.50 : x
  2. Step 2: Convert to fraction form
    157,729.50/341,689.50 = 341,689.50/x
  3. Step 3: Cross multiply
    157,729.50x = 341,689.50 × 341,689.50
  4. Step 4: Simplify right side
    157,729.50x = 116,751,714,410.25
  5. Step 5: Solve for x
    x = 116,751,714,410.25/157,729.50
  6. Step 6: Final answer
    x = 740,202.15

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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.