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Finding the Third Proportional to 155,234 and 235,767

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Solution

The third proportional to 155,234 and 235,767 is: 358,079.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,234 : 235,767 = 235,767 : x
  2. Step 2: Convert to fraction form
    155,234/235,767 = 235,767/x
  3. Step 3: Cross multiply
    155,234x = 235,767 × 235,767
  4. Step 4: Simplify right side
    155,234x = 55,586,078,289
  5. Step 5: Solve for x
    x = 55,586,078,289/155,234
  6. Step 6: Final answer
    x = 358,079.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.