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Finding the Third Proportional to 131,747.50 and 292,969

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Solution

The third proportional to 131,747.50 and 292,969 is: 651,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,747.50 : 292,969 = 292,969 : x
  2. Step 2: Convert to fraction form
    131,747.50/292,969 = 292,969/x
  3. Step 3: Cross multiply
    131,747.50x = 292,969 × 292,969
  4. Step 4: Simplify right side
    131,747.50x = 85,830,834,961
  5. Step 5: Solve for x
    x = 85,830,834,961/131,747.50
  6. Step 6: Final answer
    x = 651,479.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.