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Finding the Third Proportional to 155,431.50 and 232,185

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Solution

The third proportional to 155,431.50 and 232,185 is: 346,840.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,431.50 : 232,185 = 232,185 : x
  2. Step 2: Convert to fraction form
    155,431.50/232,185 = 232,185/x
  3. Step 3: Cross multiply
    155,431.50x = 232,185 × 232,185
  4. Step 4: Simplify right side
    155,431.50x = 53,909,874,225
  5. Step 5: Solve for x
    x = 53,909,874,225/155,431.50
  6. Step 6: Final answer
    x = 346,840.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.