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Finding the Third Proportional to 109,019.25 and 235,224

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Solution

The third proportional to 109,019.25 and 235,224 is: 507,528.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,019.25 : 235,224 = 235,224 : x
  2. Step 2: Convert to fraction form
    109,019.25/235,224 = 235,224/x
  3. Step 3: Cross multiply
    109,019.25x = 235,224 × 235,224
  4. Step 4: Simplify right side
    109,019.25x = 55,330,330,176
  5. Step 5: Solve for x
    x = 55,330,330,176/109,019.25
  6. Step 6: Final answer
    x = 507,528.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.