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Finding the Third Proportional to 145,170 and 307,962

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Solution

The third proportional to 145,170 and 307,962 is: 653,307.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,170 : 307,962 = 307,962 : x
  2. Step 2: Convert to fraction form
    145,170/307,962 = 307,962/x
  3. Step 3: Cross multiply
    145,170x = 307,962 × 307,962
  4. Step 4: Simplify right side
    145,170x = 94,840,593,444
  5. Step 5: Solve for x
    x = 94,840,593,444/145,170
  6. Step 6: Final answer
    x = 653,307.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.