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Finding the Third Proportional to 201,643.13 and 309,514.50

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Solution

The third proportional to 201,643.13 and 309,514.50 is: 475,092.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,643.13 : 309,514.50 = 309,514.50 : x
  2. Step 2: Convert to fraction form
    201,643.13/309,514.50 = 309,514.50/x
  3. Step 3: Cross multiply
    201,643.13x = 309,514.50 × 309,514.50
  4. Step 4: Simplify right side
    201,643.13x = 95,799,225,710.25
  5. Step 5: Solve for x
    x = 95,799,225,710.25/201,643.13
  6. Step 6: Final answer
    x = 475,092.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.