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Finding the Third Proportional to 170,121.50 and 357,657.50

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Solution

The third proportional to 170,121.50 and 357,657.50 is: 751,926.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,121.50 : 357,657.50 = 357,657.50 : x
  2. Step 2: Convert to fraction form
    170,121.50/357,657.50 = 357,657.50/x
  3. Step 3: Cross multiply
    170,121.50x = 357,657.50 × 357,657.50
  4. Step 4: Simplify right side
    170,121.50x = 127,918,887,306.25
  5. Step 5: Solve for x
    x = 127,918,887,306.25/170,121.50
  6. Step 6: Final answer
    x = 751,926.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.