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Finding the Third Proportional to 188,347.50 and 406,570.50

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Solution

The third proportional to 188,347.50 and 406,570.50 is: 877,630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,347.50 : 406,570.50 = 406,570.50 : x
  2. Step 2: Convert to fraction form
    188,347.50/406,570.50 = 406,570.50/x
  3. Step 3: Cross multiply
    188,347.50x = 406,570.50 × 406,570.50
  4. Step 4: Simplify right side
    188,347.50x = 165,299,571,470.25
  5. Step 5: Solve for x
    x = 165,299,571,470.25/188,347.50
  6. Step 6: Final answer
    x = 877,630.82

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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.