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Finding the Third Proportional to 116,824.50 and 180,409.50

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Solution

The third proportional to 116,824.50 and 180,409.50 is: 278,602.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,824.50 : 180,409.50 = 180,409.50 : x
  2. Step 2: Convert to fraction form
    116,824.50/180,409.50 = 180,409.50/x
  3. Step 3: Cross multiply
    116,824.50x = 180,409.50 × 180,409.50
  4. Step 4: Simplify right side
    116,824.50x = 32,547,587,690.25
  5. Step 5: Solve for x
    x = 32,547,587,690.25/116,824.50
  6. Step 6: Final answer
    x = 278,602.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.