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Finding the Third Proportional to 76,654 and 167,558

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Solution

The third proportional to 76,654 and 167,558 is: 366,265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,654 : 167,558 = 167,558 : x
  2. Step 2: Convert to fraction form
    76,654/167,558 = 167,558/x
  3. Step 3: Cross multiply
    76,654x = 167,558 × 167,558
  4. Step 4: Simplify right side
    76,654x = 28,075,683,364
  5. Step 5: Solve for x
    x = 28,075,683,364/76,654
  6. Step 6: Final answer
    x = 366,265.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.