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Finding the Third Proportional to 205,641 and 311,053.50

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Solution

The third proportional to 205,641 and 311,053.50 is: 470,500.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,641 : 311,053.50 = 311,053.50 : x
  2. Step 2: Convert to fraction form
    205,641/311,053.50 = 311,053.50/x
  3. Step 3: Cross multiply
    205,641x = 311,053.50 × 311,053.50
  4. Step 4: Simplify right side
    205,641x = 96,754,279,862.25
  5. Step 5: Solve for x
    x = 96,754,279,862.25/205,641
  6. Step 6: Final answer
    x = 470,500.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.