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Finding the Third Proportional to 249,938 and 366,009

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Solution

The third proportional to 249,938 and 366,009 is: 535,983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,938 : 366,009 = 366,009 : x
  2. Step 2: Convert to fraction form
    249,938/366,009 = 366,009/x
  3. Step 3: Cross multiply
    249,938x = 366,009 × 366,009
  4. Step 4: Simplify right side
    249,938x = 133,962,588,081
  5. Step 5: Solve for x
    x = 133,962,588,081/249,938
  6. Step 6: Final answer
    x = 535,983.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.