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Finding the Third Proportional to 180,460.69 and 252,303.19

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Solution

The third proportional to 180,460.69 and 252,303.19 is: 352,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,460.69 : 252,303.19 = 252,303.19 : x
  2. Step 2: Convert to fraction form
    180,460.69/252,303.19 = 252,303.19/x
  3. Step 3: Cross multiply
    180,460.69x = 252,303.19 × 252,303.19
  4. Step 4: Simplify right side
    180,460.69x = 63,656,898,422.66
  5. Step 5: Solve for x
    x = 63,656,898,422.66/180,460.69
  6. Step 6: Final answer
    x = 352,746.62

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.