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Finding the Third Proportional to 163,767 and 347,215.50

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Solution

The third proportional to 163,767 and 347,215.50 is: 736,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,767 : 347,215.50 = 347,215.50 : x
  2. Step 2: Convert to fraction form
    163,767/347,215.50 = 347,215.50/x
  3. Step 3: Cross multiply
    163,767x = 347,215.50 × 347,215.50
  4. Step 4: Simplify right side
    163,767x = 120,558,603,440.25
  5. Step 5: Solve for x
    x = 120,558,603,440.25/163,767
  6. Step 6: Final answer
    x = 736,159.32

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