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Finding the Third Proportional to 116,445 and 180,357.75

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Solution

The third proportional to 116,445 and 180,357.75 is: 279,350.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,445 : 180,357.75 = 180,357.75 : x
  2. Step 2: Convert to fraction form
    116,445/180,357.75 = 180,357.75/x
  3. Step 3: Cross multiply
    116,445x = 180,357.75 × 180,357.75
  4. Step 4: Simplify right side
    116,445x = 32,528,917,985.06
  5. Step 5: Solve for x
    x = 32,528,917,985.06/116,445
  6. Step 6: Final answer
    x = 279,350.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.