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Finding the Third Proportional to 255,202.88 and 559,248.75

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Solution

The third proportional to 255,202.88 and 559,248.75 is: 1,225,531.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,202.88 : 559,248.75 = 559,248.75 : x
  2. Step 2: Convert to fraction form
    255,202.88/559,248.75 = 559,248.75/x
  3. Step 3: Cross multiply
    255,202.88x = 559,248.75 × 559,248.75
  4. Step 4: Simplify right side
    255,202.88x = 312,759,164,376.56
  5. Step 5: Solve for x
    x = 312,759,164,376.56/255,202.88
  6. Step 6: Final answer
    x = 1,225,531.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.