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Finding the Third Proportional to 183,036.50 and 335,697.50

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Solution

The third proportional to 183,036.50 and 335,697.50 is: 615,684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,036.50 : 335,697.50 = 335,697.50 : x
  2. Step 2: Convert to fraction form
    183,036.50/335,697.50 = 335,697.50/x
  3. Step 3: Cross multiply
    183,036.50x = 335,697.50 × 335,697.50
  4. Step 4: Simplify right side
    183,036.50x = 112,692,811,506.25
  5. Step 5: Solve for x
    x = 112,692,811,506.25/183,036.50
  6. Step 6: Final answer
    x = 615,684.91

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.