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Finding the Third Proportional to 160,539 and 254,416.50

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Solution

The third proportional to 160,539 and 254,416.50 is: 403,190.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,539 : 254,416.50 = 254,416.50 : x
  2. Step 2: Convert to fraction form
    160,539/254,416.50 = 254,416.50/x
  3. Step 3: Cross multiply
    160,539x = 254,416.50 × 254,416.50
  4. Step 4: Simplify right side
    160,539x = 64,727,755,472.25
  5. Step 5: Solve for x
    x = 64,727,755,472.25/160,539
  6. Step 6: Final answer
    x = 403,190.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.