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Finding the Third Proportional to 269,430 and 404,143.50

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Solution

The third proportional to 269,430 and 404,143.50 is: 606,213.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,430 : 404,143.50 = 404,143.50 : x
  2. Step 2: Convert to fraction form
    269,430/404,143.50 = 404,143.50/x
  3. Step 3: Cross multiply
    269,430x = 404,143.50 × 404,143.50
  4. Step 4: Simplify right side
    269,430x = 163,331,968,592.25
  5. Step 5: Solve for x
    x = 163,331,968,592.25/269,430
  6. Step 6: Final answer
    x = 606,213.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.