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Finding the Third Proportional to 157,620 and 230,562

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Solution

The third proportional to 157,620 and 230,562 is: 337,259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,620 : 230,562 = 230,562 : x
  2. Step 2: Convert to fraction form
    157,620/230,562 = 230,562/x
  3. Step 3: Cross multiply
    157,620x = 230,562 × 230,562
  4. Step 4: Simplify right side
    157,620x = 53,158,835,844
  5. Step 5: Solve for x
    x = 53,158,835,844/157,620
  6. Step 6: Final answer
    x = 337,259.46

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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.