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Finding the Third Proportional to 280,212 and 446,090.25

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Solution

The third proportional to 280,212 and 446,090.25 is: 710,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,212 : 446,090.25 = 446,090.25 : x
  2. Step 2: Convert to fraction form
    280,212/446,090.25 = 446,090.25/x
  3. Step 3: Cross multiply
    280,212x = 446,090.25 × 446,090.25
  4. Step 4: Simplify right side
    280,212x = 198,996,511,145.06
  5. Step 5: Solve for x
    x = 198,996,511,145.06/280,212
  6. Step 6: Final answer
    x = 710,164.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.