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Finding the Third Proportional to 203,570 and 307,583

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Solution

The third proportional to 203,570 and 307,583 is: 464,740.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,570 : 307,583 = 307,583 : x
  2. Step 2: Convert to fraction form
    203,570/307,583 = 307,583/x
  3. Step 3: Cross multiply
    203,570x = 307,583 × 307,583
  4. Step 4: Simplify right side
    203,570x = 94,607,301,889
  5. Step 5: Solve for x
    x = 94,607,301,889/203,570
  6. Step 6: Final answer
    x = 464,740.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.