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Finding the Third Proportional to 163,539 and 350,374.50

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Solution

The third proportional to 163,539 and 350,374.50 is: 750,660.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,539 : 350,374.50 = 350,374.50 : x
  2. Step 2: Convert to fraction form
    163,539/350,374.50 = 350,374.50/x
  3. Step 3: Cross multiply
    163,539x = 350,374.50 × 350,374.50
  4. Step 4: Simplify right side
    163,539x = 122,762,290,250.25
  5. Step 5: Solve for x
    x = 122,762,290,250.25/163,539
  6. Step 6: Final answer
    x = 750,660.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.