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Finding the Third Proportional to 116,577 and 253,912.50

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Solution

The third proportional to 116,577 and 253,912.50 is: 553,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,577 : 253,912.50 = 253,912.50 : x
  2. Step 2: Convert to fraction form
    116,577/253,912.50 = 253,912.50/x
  3. Step 3: Cross multiply
    116,577x = 253,912.50 × 253,912.50
  4. Step 4: Simplify right side
    116,577x = 64,471,557,656.25
  5. Step 5: Solve for x
    x = 64,471,557,656.25/116,577
  6. Step 6: Final answer
    x = 553,038.40

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.