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Finding the Third Proportional to 204,397.50 and 319,010.63

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Solution

The third proportional to 204,397.50 and 319,010.63 is: 497,891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,397.50 : 319,010.63 = 319,010.63 : x
  2. Step 2: Convert to fraction form
    204,397.50/319,010.63 = 319,010.63/x
  3. Step 3: Cross multiply
    204,397.50x = 319,010.63 × 319,010.63
  4. Step 4: Simplify right side
    204,397.50x = 101,767,778,862.89
  5. Step 5: Solve for x
    x = 101,767,778,862.89/204,397.50
  6. Step 6: Final answer
    x = 497,891.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.