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Finding the Third Proportional to 180,874.50 and 265,898.25

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Solution

The third proportional to 180,874.50 and 265,898.25 is: 390,889.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,874.50 : 265,898.25 = 265,898.25 : x
  2. Step 2: Convert to fraction form
    180,874.50/265,898.25 = 265,898.25/x
  3. Step 3: Cross multiply
    180,874.50x = 265,898.25 × 265,898.25
  4. Step 4: Simplify right side
    180,874.50x = 70,701,879,353.06
  5. Step 5: Solve for x
    x = 70,701,879,353.06/180,874.50
  6. Step 6: Final answer
    x = 390,889.15

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.