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Finding the Third Proportional to 163,761 and 347,206.50

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Solution

The third proportional to 163,761 and 347,206.50 is: 736,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,761 : 347,206.50 = 347,206.50 : x
  2. Step 2: Convert to fraction form
    163,761/347,206.50 = 347,206.50/x
  3. Step 3: Cross multiply
    163,761x = 347,206.50 × 347,206.50
  4. Step 4: Simplify right side
    163,761x = 120,552,353,642.25
  5. Step 5: Solve for x
    x = 120,552,353,642.25/163,761
  6. Step 6: Final answer
    x = 736,148.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.