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Finding the Third Proportional to 156,827.81 and 333,883.69

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Solution

The third proportional to 156,827.81 and 333,883.69 is: 710,832.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,827.81 : 333,883.69 = 333,883.69 : x
  2. Step 2: Convert to fraction form
    156,827.81/333,883.69 = 333,883.69/x
  3. Step 3: Cross multiply
    156,827.81x = 333,883.69 × 333,883.69
  4. Step 4: Simplify right side
    156,827.81x = 111,478,316,778.60
  5. Step 5: Solve for x
    x = 111,478,316,778.60/156,827.81
  6. Step 6: Final answer
    x = 710,832.57

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.