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Finding the Third Proportional to 164,598.75 and 223,560

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Solution

The third proportional to 164,598.75 and 223,560 is: 303,641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,598.75 : 223,560 = 223,560 : x
  2. Step 2: Convert to fraction form
    164,598.75/223,560 = 223,560/x
  3. Step 3: Cross multiply
    164,598.75x = 223,560 × 223,560
  4. Step 4: Simplify right side
    164,598.75x = 49,979,073,600
  5. Step 5: Solve for x
    x = 49,979,073,600/164,598.75
  6. Step 6: Final answer
    x = 303,641.88

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.