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Finding the Third Proportional to 205,147.50 and 310,552.50

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Solution

The third proportional to 205,147.50 and 310,552.50 is: 470,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,147.50 : 310,552.50 = 310,552.50 : x
  2. Step 2: Convert to fraction form
    205,147.50/310,552.50 = 310,552.50/x
  3. Step 3: Cross multiply
    205,147.50x = 310,552.50 × 310,552.50
  4. Step 4: Simplify right side
    205,147.50x = 96,442,855,256.25
  5. Step 5: Solve for x
    x = 96,442,855,256.25/205,147.50
  6. Step 6: Final answer
    x = 470,114.70

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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.