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Finding the Third Proportional to 161,817.50 and 344,047

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Solution

The third proportional to 161,817.50 and 344,047 is: 731,492.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,817.50 : 344,047 = 344,047 : x
  2. Step 2: Convert to fraction form
    161,817.50/344,047 = 344,047/x
  3. Step 3: Cross multiply
    161,817.50x = 344,047 × 344,047
  4. Step 4: Simplify right side
    161,817.50x = 118,368,338,209
  5. Step 5: Solve for x
    x = 118,368,338,209/161,817.50
  6. Step 6: Final answer
    x = 731,492.81

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Why These Related Problems?

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