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Finding the Third Proportional to 125,216 and 260,784

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Solution

The third proportional to 125,216 and 260,784 is: 543,127.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,216 : 260,784 = 260,784 : x
  2. Step 2: Convert to fraction form
    125,216/260,784 = 260,784/x
  3. Step 3: Cross multiply
    125,216x = 260,784 × 260,784
  4. Step 4: Simplify right side
    125,216x = 68,008,294,656
  5. Step 5: Solve for x
    x = 68,008,294,656/125,216
  6. Step 6: Final answer
    x = 543,127.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.