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Finding the Third Proportional to 161,061 and 363,877.50

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Solution

The third proportional to 161,061 and 363,877.50 is: 822,091.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,061 : 363,877.50 = 363,877.50 : x
  2. Step 2: Convert to fraction form
    161,061/363,877.50 = 363,877.50/x
  3. Step 3: Cross multiply
    161,061x = 363,877.50 × 363,877.50
  4. Step 4: Simplify right side
    161,061x = 132,406,835,006.25
  5. Step 5: Solve for x
    x = 132,406,835,006.25/161,061
  6. Step 6: Final answer
    x = 822,091.23

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.