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Finding the Third Proportional to 239,017.50 and 522,139.50

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Solution

The third proportional to 239,017.50 and 522,139.50 is: 1,140,626.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,017.50 : 522,139.50 = 522,139.50 : x
  2. Step 2: Convert to fraction form
    239,017.50/522,139.50 = 522,139.50/x
  3. Step 3: Cross multiply
    239,017.50x = 522,139.50 × 522,139.50
  4. Step 4: Simplify right side
    239,017.50x = 272,629,657,460.25
  5. Step 5: Solve for x
    x = 272,629,657,460.25/239,017.50
  6. Step 6: Final answer
    x = 1,140,626.35

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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.