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Finding the Third Proportional to 249,219 and 376,800

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Solution

The third proportional to 249,219 and 376,800 is: 569,692.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,219 : 376,800 = 376,800 : x
  2. Step 2: Convert to fraction form
    249,219/376,800 = 376,800/x
  3. Step 3: Cross multiply
    249,219x = 376,800 × 376,800
  4. Step 4: Simplify right side
    249,219x = 141,978,240,000
  5. Step 5: Solve for x
    x = 141,978,240,000/249,219
  6. Step 6: Final answer
    x = 569,692.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.