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Finding the Third Proportional to 199,818 and 413,482.50

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Solution

The third proportional to 199,818 and 413,482.50 is: 855,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,818 : 413,482.50 = 413,482.50 : x
  2. Step 2: Convert to fraction form
    199,818/413,482.50 = 413,482.50/x
  3. Step 3: Cross multiply
    199,818x = 413,482.50 × 413,482.50
  4. Step 4: Simplify right side
    199,818x = 170,967,777,806.25
  5. Step 5: Solve for x
    x = 170,967,777,806.25/199,818
  6. Step 6: Final answer
    x = 855,617.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.