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Finding the Third Proportional to 155,983 and 235,370

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Solution

The third proportional to 155,983 and 235,370 is: 355,160.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,983 : 235,370 = 235,370 : x
  2. Step 2: Convert to fraction form
    155,983/235,370 = 235,370/x
  3. Step 3: Cross multiply
    155,983x = 235,370 × 235,370
  4. Step 4: Simplify right side
    155,983x = 55,399,036,900
  5. Step 5: Solve for x
    x = 55,399,036,900/155,983
  6. Step 6: Final answer
    x = 355,160.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.