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Finding the Third Proportional to 157,648.25 and 345,955

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Solution

The third proportional to 157,648.25 and 345,955 is: 759,189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,648.25 : 345,955 = 345,955 : x
  2. Step 2: Convert to fraction form
    157,648.25/345,955 = 345,955/x
  3. Step 3: Cross multiply
    157,648.25x = 345,955 × 345,955
  4. Step 4: Simplify right side
    157,648.25x = 119,684,862,025
  5. Step 5: Solve for x
    x = 119,684,862,025/157,648.25
  6. Step 6: Final answer
    x = 759,189.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.