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Finding the Third Proportional to 140,482.25 and 209,892.25

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Solution

The third proportional to 140,482.25 and 209,892.25 is: 313,596.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,482.25 : 209,892.25 = 209,892.25 : x
  2. Step 2: Convert to fraction form
    140,482.25/209,892.25 = 209,892.25/x
  3. Step 3: Cross multiply
    140,482.25x = 209,892.25 × 209,892.25
  4. Step 4: Simplify right side
    140,482.25x = 44,054,756,610.06
  5. Step 5: Solve for x
    x = 44,054,756,610.06/140,482.25
  6. Step 6: Final answer
    x = 313,596.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.