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Finding the Third Proportional to 155,445 and 206,329.50

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Solution

The third proportional to 155,445 and 206,329.50 is: 273,870.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,445 : 206,329.50 = 206,329.50 : x
  2. Step 2: Convert to fraction form
    155,445/206,329.50 = 206,329.50/x
  3. Step 3: Cross multiply
    155,445x = 206,329.50 × 206,329.50
  4. Step 4: Simplify right side
    155,445x = 42,571,862,570.25
  5. Step 5: Solve for x
    x = 42,571,862,570.25/155,445
  6. Step 6: Final answer
    x = 273,870.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.