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Finding the Third Proportional to 255,186 and 557,065.50

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Solution

The third proportional to 255,186 and 557,065.50 is: 1,216,061.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,186 : 557,065.50 = 557,065.50 : x
  2. Step 2: Convert to fraction form
    255,186/557,065.50 = 557,065.50/x
  3. Step 3: Cross multiply
    255,186x = 557,065.50 × 557,065.50
  4. Step 4: Simplify right side
    255,186x = 310,321,971,290.25
  5. Step 5: Solve for x
    x = 310,321,971,290.25/255,186
  6. Step 6: Final answer
    x = 1,216,061.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.