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Finding the Third Proportional to 341,164.50 and 535,119.75

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Solution

The third proportional to 341,164.50 and 535,119.75 is: 839,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,164.50 : 535,119.75 = 535,119.75 : x
  2. Step 2: Convert to fraction form
    341,164.50/535,119.75 = 535,119.75/x
  3. Step 3: Cross multiply
    341,164.50x = 535,119.75 × 535,119.75
  4. Step 4: Simplify right side
    341,164.50x = 286,353,146,840.06
  5. Step 5: Solve for x
    x = 286,353,146,840.06/341,164.50
  6. Step 6: Final answer
    x = 839,340.40

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.