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Finding the Third Proportional to 169,705.50 and 251,623.50

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Solution

The third proportional to 169,705.50 and 251,623.50 is: 373,083.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,705.50 : 251,623.50 = 251,623.50 : x
  2. Step 2: Convert to fraction form
    169,705.50/251,623.50 = 251,623.50/x
  3. Step 3: Cross multiply
    169,705.50x = 251,623.50 × 251,623.50
  4. Step 4: Simplify right side
    169,705.50x = 63,314,385,752.25
  5. Step 5: Solve for x
    x = 63,314,385,752.25/169,705.50
  6. Step 6: Final answer
    x = 373,083.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.