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Finding the Third Proportional to 200,730 and 288,519

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Solution

The third proportional to 200,730 and 288,519 is: 414,702.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,730 : 288,519 = 288,519 : x
  2. Step 2: Convert to fraction form
    200,730/288,519 = 288,519/x
  3. Step 3: Cross multiply
    200,730x = 288,519 × 288,519
  4. Step 4: Simplify right side
    200,730x = 83,243,213,361
  5. Step 5: Solve for x
    x = 83,243,213,361/200,730
  6. Step 6: Final answer
    x = 414,702.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.