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Finding the Third Proportional to 200,373.75 and 319,514.63

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Solution

The third proportional to 200,373.75 and 319,514.63 is: 509,495.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,373.75 : 319,514.63 = 319,514.63 : x
  2. Step 2: Convert to fraction form
    200,373.75/319,514.63 = 319,514.63/x
  3. Step 3: Cross multiply
    200,373.75x = 319,514.63 × 319,514.63
  4. Step 4: Simplify right side
    200,373.75x = 102,089,595,588.89
  5. Step 5: Solve for x
    x = 102,089,595,588.89/200,373.75
  6. Step 6: Final answer
    x = 509,495.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.