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Finding the Third Proportional to 228,009.94 and 357,567.75

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Solution

The third proportional to 228,009.94 and 357,567.75 is: 560,741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,009.94 : 357,567.75 = 357,567.75 : x
  2. Step 2: Convert to fraction form
    228,009.94/357,567.75 = 357,567.75/x
  3. Step 3: Cross multiply
    228,009.94x = 357,567.75 × 357,567.75
  4. Step 4: Simplify right side
    228,009.94x = 127,854,695,840.06
  5. Step 5: Solve for x
    x = 127,854,695,840.06/228,009.94
  6. Step 6: Final answer
    x = 560,741.77

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.