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Finding the Third Proportional to 205,125.75 and 310,425.75

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Solution

The third proportional to 205,125.75 and 310,425.75 is: 469,780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,125.75 : 310,425.75 = 310,425.75 : x
  2. Step 2: Convert to fraction form
    205,125.75/310,425.75 = 310,425.75/x
  3. Step 3: Cross multiply
    205,125.75x = 310,425.75 × 310,425.75
  4. Step 4: Simplify right side
    205,125.75x = 96,364,146,263.06
  5. Step 5: Solve for x
    x = 96,364,146,263.06/205,125.75
  6. Step 6: Final answer
    x = 469,780.84

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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.