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Finding the Third Proportional to 157,622 and 230,565

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Solution

The third proportional to 157,622 and 230,565 is: 337,263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,622 : 230,565 = 230,565 : x
  2. Step 2: Convert to fraction form
    157,622/230,565 = 230,565/x
  3. Step 3: Cross multiply
    157,622x = 230,565 × 230,565
  4. Step 4: Simplify right side
    157,622x = 53,160,219,225
  5. Step 5: Solve for x
    x = 53,160,219,225/157,622
  6. Step 6: Final answer
    x = 337,263.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.