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Finding the Third Proportional to 205,150.50 and 310,557

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Solution

The third proportional to 205,150.50 and 310,557 is: 470,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,150.50 : 310,557 = 310,557 : x
  2. Step 2: Convert to fraction form
    205,150.50/310,557 = 310,557/x
  3. Step 3: Cross multiply
    205,150.50x = 310,557 × 310,557
  4. Step 4: Simplify right side
    205,150.50x = 96,445,650,249
  5. Step 5: Solve for x
    x = 96,445,650,249/205,150.50
  6. Step 6: Final answer
    x = 470,121.45

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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.