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Finding the Third Proportional to 249,204 and 376,400

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Solution

The third proportional to 249,204 and 376,400 is: 568,518.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,204 : 376,400 = 376,400 : x
  2. Step 2: Convert to fraction form
    249,204/376,400 = 376,400/x
  3. Step 3: Cross multiply
    249,204x = 376,400 × 376,400
  4. Step 4: Simplify right side
    249,204x = 141,676,960,000
  5. Step 5: Solve for x
    x = 141,676,960,000/249,204
  6. Step 6: Final answer
    x = 568,518.00

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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.