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Finding the Third Proportional to 202,675.50 and 439,963.50

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Solution

The third proportional to 202,675.50 and 439,963.50 is: 955,063.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,675.50 : 439,963.50 = 439,963.50 : x
  2. Step 2: Convert to fraction form
    202,675.50/439,963.50 = 439,963.50/x
  3. Step 3: Cross multiply
    202,675.50x = 439,963.50 × 439,963.50
  4. Step 4: Simplify right side
    202,675.50x = 193,567,881,332.25
  5. Step 5: Solve for x
    x = 193,567,881,332.25/202,675.50
  6. Step 6: Final answer
    x = 955,063.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.