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Finding the Third Proportional to 169,627.50 and 356,686.50

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Solution

The third proportional to 169,627.50 and 356,686.50 is: 750,027.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,627.50 : 356,686.50 = 356,686.50 : x
  2. Step 2: Convert to fraction form
    169,627.50/356,686.50 = 356,686.50/x
  3. Step 3: Cross multiply
    169,627.50x = 356,686.50 × 356,686.50
  4. Step 4: Simplify right side
    169,627.50x = 127,225,259,282.25
  5. Step 5: Solve for x
    x = 127,225,259,282.25/169,627.50
  6. Step 6: Final answer
    x = 750,027.32

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.