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Finding the Third Proportional to 141,202.13 and 305,347.50

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Solution

The third proportional to 141,202.13 and 305,347.50 is: 660,309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,202.13 : 305,347.50 = 305,347.50 : x
  2. Step 2: Convert to fraction form
    141,202.13/305,347.50 = 305,347.50/x
  3. Step 3: Cross multiply
    141,202.13x = 305,347.50 × 305,347.50
  4. Step 4: Simplify right side
    141,202.13x = 93,237,095,756.25
  5. Step 5: Solve for x
    x = 93,237,095,756.25/141,202.13
  6. Step 6: Final answer
    x = 660,309.44

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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.