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Finding the Third Proportional to 163,539 and 350,527.50

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Solution

The third proportional to 163,539 and 350,527.50 is: 751,316.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,539 : 350,527.50 = 350,527.50 : x
  2. Step 2: Convert to fraction form
    163,539/350,527.50 = 350,527.50/x
  3. Step 3: Cross multiply
    163,539x = 350,527.50 × 350,527.50
  4. Step 4: Simplify right side
    163,539x = 122,869,528,256.25
  5. Step 5: Solve for x
    x = 122,869,528,256.25/163,539
  6. Step 6: Final answer
    x = 751,316.37

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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.