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Finding the Third Proportional to 153,042.50 and 324,611

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Solution

The third proportional to 153,042.50 and 324,611 is: 688,516.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,042.50 : 324,611 = 324,611 : x
  2. Step 2: Convert to fraction form
    153,042.50/324,611 = 324,611/x
  3. Step 3: Cross multiply
    153,042.50x = 324,611 × 324,611
  4. Step 4: Simplify right side
    153,042.50x = 105,372,301,321
  5. Step 5: Solve for x
    x = 105,372,301,321/153,042.50
  6. Step 6: Final answer
    x = 688,516.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.