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Finding the Third Proportional to 163,984.50 and 353,808

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Solution

The third proportional to 163,984.50 and 353,808 is: 763,365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,984.50 : 353,808 = 353,808 : x
  2. Step 2: Convert to fraction form
    163,984.50/353,808 = 353,808/x
  3. Step 3: Cross multiply
    163,984.50x = 353,808 × 353,808
  4. Step 4: Simplify right side
    163,984.50x = 125,180,100,864
  5. Step 5: Solve for x
    x = 125,180,100,864/163,984.50
  6. Step 6: Final answer
    x = 763,365.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.