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Finding the Third Proportional to 156,823.59 and 333,876.94

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Solution

The third proportional to 156,823.59 and 333,876.94 is: 710,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,823.59 : 333,876.94 = 333,876.94 : x
  2. Step 2: Convert to fraction form
    156,823.59/333,876.94 = 333,876.94/x
  3. Step 3: Cross multiply
    156,823.59x = 333,876.94 × 333,876.94
  4. Step 4: Simplify right side
    156,823.59x = 111,473,809,394.38
  5. Step 5: Solve for x
    x = 111,473,809,394.38/156,823.59
  6. Step 6: Final answer
    x = 710,822.95

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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.