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Finding the Third Proportional to 155,467.50 and 234,297

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Solution

The third proportional to 155,467.50 and 234,297 is: 353,096.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,467.50 : 234,297 = 234,297 : x
  2. Step 2: Convert to fraction form
    155,467.50/234,297 = 234,297/x
  3. Step 3: Cross multiply
    155,467.50x = 234,297 × 234,297
  4. Step 4: Simplify right side
    155,467.50x = 54,895,084,209
  5. Step 5: Solve for x
    x = 54,895,084,209/155,467.50
  6. Step 6: Final answer
    x = 353,096.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.