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Finding the Third Proportional to 249,898.50 and 536,733

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Solution

The third proportional to 249,898.50 and 536,733 is: 1,152,797.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,898.50 : 536,733 = 536,733 : x
  2. Step 2: Convert to fraction form
    249,898.50/536,733 = 536,733/x
  3. Step 3: Cross multiply
    249,898.50x = 536,733 × 536,733
  4. Step 4: Simplify right side
    249,898.50x = 288,082,313,289
  5. Step 5: Solve for x
    x = 288,082,313,289/249,898.50
  6. Step 6: Final answer
    x = 1,152,797.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.