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Finding the Third Proportional to 116,206.50 and 163,642.50

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Solution

The third proportional to 116,206.50 and 163,642.50 is: 230,442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,206.50 : 163,642.50 = 163,642.50 : x
  2. Step 2: Convert to fraction form
    116,206.50/163,642.50 = 163,642.50/x
  3. Step 3: Cross multiply
    116,206.50x = 163,642.50 × 163,642.50
  4. Step 4: Simplify right side
    116,206.50x = 26,778,867,806.25
  5. Step 5: Solve for x
    x = 26,778,867,806.25/116,206.50
  6. Step 6: Final answer
    x = 230,442.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.