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Finding the Third Proportional to 155,250 and 240,462

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Solution

The third proportional to 155,250 and 240,462 is: 372,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,250 : 240,462 = 240,462 : x
  2. Step 2: Convert to fraction form
    155,250/240,462 = 240,462/x
  3. Step 3: Cross multiply
    155,250x = 240,462 × 240,462
  4. Step 4: Simplify right side
    155,250x = 57,821,973,444
  5. Step 5: Solve for x
    x = 57,821,973,444/155,250
  6. Step 6: Final answer
    x = 372,444.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.