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Finding the Third Proportional to 153,649.13 and 335,317.50

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Solution

The third proportional to 153,649.13 and 335,317.50 is: 731,783.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,649.13 : 335,317.50 = 335,317.50 : x
  2. Step 2: Convert to fraction form
    153,649.13/335,317.50 = 335,317.50/x
  3. Step 3: Cross multiply
    153,649.13x = 335,317.50 × 335,317.50
  4. Step 4: Simplify right side
    153,649.13x = 112,437,825,806.25
  5. Step 5: Solve for x
    x = 112,437,825,806.25/153,649.13
  6. Step 6: Final answer
    x = 731,783.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.