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Finding the Third Proportional to 206,703 and 310,052.25

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Solution

The third proportional to 206,703 and 310,052.25 is: 465,075.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,703 : 310,052.25 = 310,052.25 : x
  2. Step 2: Convert to fraction form
    206,703/310,052.25 = 310,052.25/x
  3. Step 3: Cross multiply
    206,703x = 310,052.25 × 310,052.25
  4. Step 4: Simplify right side
    206,703x = 96,132,397,730.06
  5. Step 5: Solve for x
    x = 96,132,397,730.06/206,703
  6. Step 6: Final answer
    x = 465,075.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.